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Trace theory for gauge-covariant Sobolev spaces
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2025
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Jean Van Schaftingen
Leon Winter
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On the local character of the extension of traces for Sobolev mappings
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2024
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Jean Van Schaftingen
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Analytical obstructions to the weak approximation of Sobolev mappings into manifolds
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2024
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Antoine Detaille
Jean Van Schaftingen
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Singular extension of critical Sobolev mappings under an exponential weak-type estimate
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2024
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Bohdan Bulanyi
Jean Van Schaftingen
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Limiting Korn-Maxwell-Sobolev inequalities for general incompatibilities
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2024
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Franz Gmeineder
Peter Lewintan
Jean Van Schaftingen
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Families of functionals representing Sobolev norms
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2024
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Haïm Brézis
Andreas Seeger
Jean Van Schaftingen
Po‐Lam Yung
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The extension of traces for Sobolev mappings between manifolds
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2024
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Jean Van Schaftingen
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Boundary ellipticity and limiting L1-estimates on halfspaces
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2024
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Franz Gmeineder
Bogdan Raiţă
Jean Van Schaftingen
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Limiting behavior of minimizing $p$-harmonic maps in 3d as $p$ goes to $2$ with finite fundamental group
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2024
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Bohdan Bulanyi
Jean Van Schaftingen
Benoît Van Vaerenbergh
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Endpoint Sobolev Inequalities for Vector Fields and Cancelling Operators
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2024
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Jean Van Schaftingen
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Injective Ellipticity, Cancelling Operators, and Endpoint Gagliardo-Nirenberg-Sobolev Inequalities for Vector Fields
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2024
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Jean Van Schaftingen
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Asymptotic behavior of minimizing p-harmonic maps when $$p \nearrow 2$$ in dimension 2
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2023
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Jean Van Schaftingen
Benoît Van Vaerenbergh
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Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation
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2023
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Jean Van Schaftingen
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Lifting of fractional Sobolev mappings to noncompact covering spaces
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2023
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Jean Van Schaftingen
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Lifting of fractional Sobolev mappings to noncompact covering space
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2023
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Jean Van Schaftingen
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Injective ellipticity, cancelling operators, and endpoint Gagliardo-Nirenberg-Sobolev inequalities for vector fields
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2023
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Jean Van Schaftingen
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Limiting Sobolev estimates for vector fields and cancelling differential operators
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2023
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Jean Van Schaftingen
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Endpoint Sobolev inequalities for vector fields and cancelling operators
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2023
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Jean Van Schaftingen
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Singular extension of critical Sobolev mappings under an exponential weak-type estimate
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2023
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Bohdan Bulanyi
Jean Van Schaftingen
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Spaces of Besov-Sobolev type and a problem on nonlinear approximation
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2022
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Óscar Domínguez
Andreas Seeger
Brian Street
Jean Van Schaftingen
Po‐Lam Yung
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Sobolev spaces revisited
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2022
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Haı̈m Brezis
Andreas Seeger
Jean Van Schaftingen
Po‐Lam Yung
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Limiting Sobolev and Hardy inequalities on stratified homogeneous groups
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2022
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Jean Van Schaftingen
Po‐Lam Yung
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Quantitative characterization of traces of Sobolev maps
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2022
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Katarzyna Mazowiecka
Jean Van Schaftingen
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Sobolev spaces revisited
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2022
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Haı̈m Brezis
Andreas Seeger
Jean Van Schaftingen
Po‐Lam Yung
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Fractional Gagliardo-Nirenberg interpolation inequality and bounded mean oscillation
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2022
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Jean Van Schaftingen
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Boundary ellipticity and limiting $L^1$-estimates on halfspaces
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2022
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Franz Gmeineder
Bogdan Raiţă
Jean Van Schaftingen
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Spaces of Besov-Sobolev type and a problem on nonlinear approximation
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2021
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Óscar Domínguez
Andreas Seeger
Brian Street
Jean Van Schaftingen
Po-Lam Yung
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Lifting in compact covering spaces for fractional Sobolev mappings
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2021
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Petru Mironescu
Jean Van Schaftingen
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Ginzburg–Landau Relaxation for Harmonic Maps on Planar Domains into a General Compact Vacuum Manifold
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2021
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Antonin Monteil
Rémy Rodiac
Jean Van Schaftingen
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Trace theory for Sobolev mappings into a manifold
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2021
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Petru Mironescu
Jean Van Schaftingen
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Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail
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2021
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Haı̈m Brezis
Jean Van Schaftingen
Po‐Lam Yung
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Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains
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2021
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Antonin Monteil
Rémy Rodiac
Jean Van Schaftingen
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A surprising formula for Sobolev norms
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2021
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Haı̈m Brezis
Jean Van Schaftingen
Po‐Lam Yung
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Quantitative characterization of traces of Sobolev maps
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2021
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Katarzyna Mazowiecka
Jean Van Schaftingen
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Quantitative characterization of traces of Sobolev maps
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2021
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Katarzyna Mazowiecka
Jean Van Schaftingen
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Metric characterization of the sum of fractional Sobolev spaces
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2021
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Rémy Rodiac
Jean Van Schaftingen
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Families of functionals representing Sobolev norms
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2021
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Haı̈m Brezis
Andreas Seeger
Jean Van Schaftingen
Po‐Lam Yung
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PDF
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On limiting trace inequalities for vectorial differential operators
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2021
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Franz Gmeineder
Bogdan Raiţă
Jean Van Schaftingen
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Spaces of Besov-Sobolev type and a problem on nonlinear approximation
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2021
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Óscar Domínguez
Andreas Seeger
Brian Street
Jean Van Schaftingen
Po-Lam Yung
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PDF
Chat
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Lifting in compact covering spaces for fractional Sobolev spaces
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2021
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Petru Mironescu
Jean Van Schaftingen
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PDF
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Trace theory for Sobolev mappings into a manifold
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2021
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Petru Mironescu
Jean Van Schaftingen
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Ginzburg-Landau energy and placement of singularities in generated cross fields.
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2020
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Alexis Macq
Maxence Reberol
François Henrotte
Pierre-Alexandre Beaufort
Alexandre Chemin
Jean‐François Remacle
Jean Van Schaftingen
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Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold
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2020
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Antonin Monteil
Rémy Rodiac
Jean Van Schaftingen
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Limiting Sobolev and Hardy inequalities on stratified homogeneous groups
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2020
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Jean Van Schaftingen
Po‐Lam Yung
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Reverse superposition estimates in Sobolev spaces
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2020
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Jean Van Schaftingen
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Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains
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2020
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Antonin Monteil
Rémy Rodiac
Jean Van Schaftingen
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Characterization of the traces on the boundary of functions in magnetic Sobolev spaces
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2020
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Hoài-Minh Nguyên
Jean Van Schaftingen
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Vortex Motion for the Lake Equations
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2020
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Justin Dekeyser
Jean Van Schaftingen
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A surprising formula for Sobolev norms and related topics
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2020
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Haı̈m Brezis
Jean Van Schaftingen
Po‐Lam Yung
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An estimate of the Hopf degree of fractional Sobolev mappings
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2020
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Armin Schikorra
Jean Van Schaftingen
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Ginzburg-Landau energy and placement of singularities in generated cross fields
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2020
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Alexis Macq
Maxence Reberol
François Henrotte
Pierre-Alexandre Beaufort
Alexandre Chemin
Jean‐François Remacle
Jean Van Schaftingen
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Reverse superposition estimates in Sobolev spaces
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2020
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Jean Van Schaftingen
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Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps
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2019
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Jean Van Schaftingen
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Range convergence monotonicity for vector measures and range monotonicity of the mass
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2019
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Justin Dekeyser
Jean Van Schaftingen
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Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma
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2019
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Daniel Spector
Jean Van Schaftingen
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Estimates of the amplitude of holonomies by the curvature of a connection on a bundle
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2019
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Sagun Chanillo
Jean Van Schaftingen
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On limiting trace inequalities for vectorial differential operators
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2019
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Franz Gmeineder
Bogdan Raiţă
Jean Van Schaftingen
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Groundstates for Choquard type equations with Hardy–Littlewood–Sobolev lower critical exponent
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2019
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Daniele Cassani
Jean Van Schaftingen
Jianjun Zhang
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Representing Three-Dimensional Cross Fields Using Fourth Order Tensors
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2019
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Alexandre Chemin
François Henrotte
Jean‐François Remacle
Jean Van Schaftingen
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Estimates of the amplitude of holonomies by the curvature of a connection on a bundle
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2019
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Sagun Chanillo
Jean Van Schaftingen
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Uniform boundedness principles for Sobolev maps into manifolds
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2018
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Antonin Monteil
Jean Van Schaftingen
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Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field
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2018
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Denis Bonheure
Manon Nys
Jean Van Schaftingen
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Groundstates of the Choquard equations with a sign-changing self-interaction potential
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2018
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Luca Battaglia
Jean Van Schaftingen
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Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent
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2018
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Jean Van Schaftingen
Jiankang Xia
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Weak approximation by bounded Sobolev maps with values into complete manifolds
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2018
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Pierre Bousquet
Augusto C. Ponce
Jean Van Schaftingen
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Odd symmetry of least energy nodal solutions for the Choquard equation
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2017
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David Ruiz
Jean Van Schaftingen
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Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces
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2017
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Jacopo Bellazzini
Marco Ghimenti
Carlo Mercuri
Vitaly Moroz
Jean Van Schaftingen
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Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian
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2017
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Søren Fournais
Loïc Le Treust
Nicolas Raymond
Jean Van Schaftingen
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Higher order intrinsic weak differentiability and Sobolev spaces between manifolds
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2017
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Alexandra Convent
Jean Van Schaftingen
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Standing waves with a critical frequency for nonlinear Choquard equations
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2017
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Jean Van Schaftingen
Jiankang Xia
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Bourgain–Brezis inequalities on symmetric spaces of non-compact type
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2017
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Sagun Chanillo
Jean Van Schaftingen
Po‐Lam Yung
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Density of bounded maps in Sobolev spaces into complete manifolds
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2017
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Pierre Bousquet
Augusto C. Ponce
Jean Van Schaftingen
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The logarithmic Choquard equation: Sharp asymptotics and nondegeneracy of the groundstate
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2017
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Denis Bonheure
Silvia Cingolani
Jean Van Schaftingen
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An $L^1$-type estimate for Riesz potentials
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2017
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Armin Schikorra
Daniel Spector
Jean Van Schaftingen
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Existence of Groundstates for a Class of Nonlinear Choquard Equations in the Plane
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2017
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Luca Battaglia
Jean Van Schaftingen
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Approximation of symmetrizations by Markov processes
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2017
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Jean Van Schaftingen
Justin Dekeyser
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Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem
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2017
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Sagun Chanillo
Jean Van Schaftingen
Po‐Lam Yung
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Gauge-measurable functions
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2017
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Augusto C. Ponce
Jean Van Schaftingen
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The Incompressible Navier Stokes Flow in Two Dimensions with Prescribed Vorticity
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2017
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Sagun Chanillo
Jean Van Schaftingen
Po‐Lam Yung
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Sobolev mappings: from liquid crystals to irrigation via degree theory
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2017
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Jean Van Schaftingen
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Gauge-measurable functions
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2017
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Augusto C. Ponce
Jean Van Schaftingen
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Choquard equations under confining external potentials
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2016
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Jean Van Schaftingen
Jiankang Xia
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A guide to the Choquard equation
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2016
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Vitaly Moroz
Jean Van Schaftingen
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Groundstates and radial solutions to nonlinear Schrödinger–Poisson–Slater equations at the critical frequency
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2016
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Carlo Mercuri
Vitaly Moroz
Jean Van Schaftingen
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Controlled Singular Extension of Critical Trace Sobolev Maps from Spheres to Compact Manifolds
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2016
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Mircea Petrache
Jean Van Schaftingen
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Nodal solutions for the Choquard equation
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2016
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Marco Ghimenti
Jean Van Schaftingen
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Least action nodal solutions for the quadratic Choquard equation
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2016
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Marco Ghimenti
Vitaly Moroz
Jean Van Schaftingen
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Intrinsic colocal weak derivatives and Sobolev spaces between manifolds
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2016
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Alexandra Convent
Jean Van Schaftingen
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Geometric partial differentiability on manifolds: The tangential derivative and the chain rule
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2015
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Alexandra Convent
Jean Van Schaftingen
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PDF
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Applications of Bourgain–Brézis inequalities to fluid mechanics and magnetism
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2015
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Sagun Chanillo
Jean Van Schaftingen
Po‐Lam Yung
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Strong density for higher order Sobolev spaces into compact manifolds
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2015
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Pierre Bousquet
Augusto C. Ponce
Jean Van Schaftingen
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Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field
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2015
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Jonathan Di Cosmo
Jean Van Schaftingen
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Existence of groundstates for a class of nonlinear Choquard equations
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2014
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Vitaly Moroz
Jean Van Schaftingen
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Density of smooth maps for fractional Sobolev spaces <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>W</mml:mi> <mml:mrow><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow> </mml:msup></mml:math> into <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ℓ</mml:mi></mml:math> simply connected manifolds when <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>s</mml:mi><mml:mo>≥</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml…
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2014
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Pierre Bousquet
Augusto C. Ponce
Jean Van Schaftingen
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Interpolation inequalities between Sobolev and Morrey–Campanato spaces: A common gateway to concentration-compactness and Gagliardo–Nirenberg interpolation inequalities
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2014
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Jean Van Schaftingen
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Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
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2014
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Vitaly Moroz
Jean Van Schaftingen
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Equivalence between Pólya–Szegő and relative capacity inequalities under rearrangement
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2014
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Jean Van Schaftingen
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Limiting Bourgain–Brezis estimates for systems of linear differential equations: Theme and variations
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2014
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Jean Van Schaftingen
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Approximation in Sobolev spaces by piecewise affine interpolation
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2014
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Jean Van Schaftingen
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Existence, Stability and Oscillation Properties of Slow-Decay Positive Solutions of Supercritical Elliptic Equations with Hardy Potential
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2014
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Vitaly Moroz
Jean Van Schaftingen
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Semi-classical states for the Choquard equation
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2014
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Vitaly Moroz
Jean Van Schaftingen
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Strong approximation of fractional Sobolev maps
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2014
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Pierre Bousquet
Augusto C. Ponce
Jean Van Schaftingen
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Hardy-Sobolev inequalities for vector fields and canceling linear differential operators
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2014
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Pierre Bousquet
Jean Van Schaftingen
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Limiting Bourgain-Brezis estimates for systems: theme and variations
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2013
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Jean Van Schaftingen
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Desingularization of Vortex Rings and Shallow Water Vortices by a Semilinear Elliptic Problem
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2013
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Sébastien de Valeriola
Jean Van Schaftingen
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Groundstates of nonlinear Choquard equations: Existence, qualitative properties and decay asymptotics
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2013
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Vitaly Moroz
Jean Van Schaftingen
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Limiting Sobolev inequalities for vector fields and canceling linear differential operators
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2013
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Jean Van Schaftingen
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Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains
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2013
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Vitaly Moroz
Jean Van Schaftingen
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FINDING CRITICAL POINTS WHOSE POLARIZATION IS ALSO A CRITICAL POINT
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2012
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Marco Squassina
Jean Van Schaftingen
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Stationary solutions of the nonlinear Schrödinger equation with fast-decay potentials concentrating around local maxima
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2012
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Jonathan Di Cosmo
Jean Van Schaftingen
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Nonlocal Hardy type inequalities with optimal constants and remainder terms
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2012
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Vitaly Moroz
Jean Van Schaftingen
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Un nouveau cours d’analyse mathématique pour les étudiants en mathématiques et en physique
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2012
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Jean Van Schaftingen
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Nonlocal Hardy type inequalities with optimal constants and remainder terms
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2012
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Vitaly Moroz
Jean Van Schaftingen
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Nonlinear Schrödinger equation with unbounded or vanishing potentials: Solutions concentrating on lower dimensional spheres
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2011
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Denis Bonheure
Jonathan Di Cosmo
Jean Van Schaftingen
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Proving the existence of eigenvalues and eigenvectors by Weierstrass's theorem
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2011
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Jean Van Schaftingen
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Finding critical points whose polarization is also a critical point
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2011
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Marco Squassina
Jean Van Schaftingen
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Nonlinear Elliptic Partial Differential Equations
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2011
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Denis Bonheure
Mabel Cuesta
E. Lami Dozo
Peter Takáč
Jean Van Schaftingen
Michel Willem
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Stationary solutions of the nonlinear Schrdinger equation with fast-decay potentials concentrating
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2011
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Jonathan Di Cosmo
Jean Van Schaftingen
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Extremal functions in Poincaré-Sobolev inequalities for functions of bounded variation
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2011
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Vincent Bouchez
Jean Van Schaftingen
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Finding critical points whose polarization is also a critical point
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2011
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Marco Squassina
Jean Van Schaftingen
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Nonlinear elliptic partial differential equations : Workshop in celebration of Jean-Pierre Gossez's 65th birthday, September 2-4, 2009, Université libre de Bruxelles, Belgium
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2011
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Denis Bonheure
Mabel Cuesta
Enrique José Lami Dozo
Peter Takáč
Jean Van Schaftingen
Michel Willem
Jean–Pierre Gossez
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Nonlinear elliptic partial differential equations: Papers from the workshop in celebration of J.-P. Gossez's 65th birthday held at the Université Libre de Bruxelles, 540
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2011
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Denis Bonheure
Mabel Cuesta
E. Lami Dozo
Peter Takáč
Jean Van Schaftingen
Michel Willem
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Desingularization of Vortices for the Euler Equation
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2010
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Didier Smets
Jean Van Schaftingen
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PDF
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Limiting fractional and Lorentz space estimates of differential forms
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2010
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Jean Van Schaftingen
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Extremal functions in Poincare-Sobolev inequalities for functions of bounded variation
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2010
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Vincent Bouchez
Jean Van Schaftingen
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Closure of smooth maps in $W^{1,p}(B^3;S^2)$
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2009
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Augusto C. Ponce
Jean Van Schaftingen
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PDF
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Explicit approximation of the symmetric rearrangement by polarizations
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2009
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Jean Van Schaftingen
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PDF
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Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity
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2009
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Denis Bonheure
Jean Van Schaftingen
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PDF
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Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials
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2009
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Vitaly Moroz
Jean Van Schaftingen
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PDF
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Pathological solutions to elliptic problems in divergence form with continuous coefficients
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2009
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Tianling Jin
Vladimir Maz’ya
Jean Van Schaftingen
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PDF
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Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials
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2009
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Vitaly Moroz
Jean Van Schaftingen
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PDF
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Subelliptic Bourgain–Brezis estimates on groups
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2009
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Sagun Chanillo
Jean Van Schaftingen
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Closure of Smooth Maps in $W^{1,p}(B^3;S^2)$
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2009
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Augusto C. Ponce
Jean Van Schaftingen
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Differential and Integral equations: Special issue dedicated to J. Mawhin and P. Habets, 22
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2009
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Denis Bonheure
Jean–Pierre Gossez
Jean Van Schaftingen
Michel Willem
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Estimates for $L^1$-vector fields under higher-order differential conditions
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2008
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Jean Van Schaftingen
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ASYMPTOTICS AND SYMMETRIES OF LEAST ENERGY NODAL SOLUTIONS OF LANE–EMDEN PROBLEMS WITH SLOW GROWTH
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2008
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Denis Bonheure
Vincent Bouchez
Christopher Grumiau
Jean Van Schaftingen
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Symmetry of solutions of semilinear elliptic problems
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2008
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Jean Van Schaftingen
M. Willem
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A case of density in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mi>W</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi>M</mml:mi><mml:mo>;</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>
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2008
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Pierre Bousquet
Augusto C. Ponce
Jean Van Schaftingen
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Bound state solutions for a class of nonlinear Schrödinger equations
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2008
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Denis Bonheure
Jean Van Schaftingen
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Circulation integrals and critical Sobolev spaces: problems of optimal constants
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2008
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Haı̈m Brezis
Jean Van Schaftingen
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Boundary estimates for elliptic systems with L1–data
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2007
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Haı̈m Brezis
Jean Van Schaftingen
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The continuity of functions with N-th derivative measure
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2007
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Augusto C. Ponce
Jean Van Schaftingen
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Approximation of symmetrizations and symmetry of critical points
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2006
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Jean Van Schaftingen
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Nonlinear Schrödinger equations with potentials vanishing at infinity
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2006
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Denis Bonheure
Jean Van Schaftingen
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Function spaces between BMO and critical Sobolev spaces
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2006
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Jean Van Schaftingen
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Anisotropic symmetrization
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2005
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Jean Van Schaftingen
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Periodic reiterated homogenization for elliptic functions
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2005
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Nicolas Meunier
Jean Van Schaftingen
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Universal approximation of symmetrizations by polarizations
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2005
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Jean Van Schaftingen
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SYMMETRIZATION AND MINIMAX PRINCIPLES
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2005
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Jean Van Schaftingen
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Symmetrizations,symmetry of critical points andL1 estimates
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2005
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Jean Van Schaftingen
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Estimates for L1-vector fields
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2004
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Jean Van Schaftingen
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Set transformations, symmetrizations and isoperimetric inequalities
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2004
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Jean Van Schaftingen
Michel Willem
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Estimates for L^1-vector fields with a second order condition
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2004
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Jean Van Schaftingen
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Estimates for L vector fields with a second order condition
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2004
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Jean Van Schaftingen
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A simple proof of an inequality of Bourgain, Brezis and Mironescu
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2003
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Jean Van Schaftingen
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A simple proof of an inequality of Bourgain, Brezis and
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2003
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Jean Van Schaftingen
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