Maria Colombo

Maria Colombo is an Italian mathematician known for her contributions to the field of mathematical analysis, particularly in partial differential equations and the calculus of variations. She completed her Ph.D. at the Scuola Normale Superiore di Pisa in Italy. After her doctoral studies, she held research positions at various institutions, including the École Polytechnique Fédérale de Lausanne (EPFL) in Switzerland.

As of my knowledge cutoff in October 2023, Maria Colombo is a professor at EPFL, where she teaches and continues her research. Her work focuses on areas such as nonlinear partial differential equations, fluid dynamics, and transport equations. She has made significant contributions to the understanding of regularity and singularities in solutions to complex mathematical problems.

Maria Colombo has received recognition for her research, including awards and grants that support her scientific endeavors. She is also involved in the mathematical community through publications, conferences, and collaborations with other researchers in her field.

All published works

Action	Title	Year	Authors
+	Oleinik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit	2024	Giuseppe Maria Coclite Maria Colombo Gianluca Crippa Nicola De Nitti Alexander Keimer Elio Marconi Lukas Pflug Laura V. Spinolo
+ PDF Chat	Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity	2024	Elia Bruè Maria Colombo Anuj Kumar
+ PDF Chat	On multidimensional nonlocal conservation laws with BV kernels	2024	Maria Colombo Gianluca Crippa Laura V. Spinolo
+ PDF Chat	Infinite‐width limit of deep linear neural networks	2024	Lénaïc Chizat Maria Colombo Xavier Fernández‐Real Alessio Figalli
+ PDF Chat	Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field	2024	Elia Bruè Maria Colombo Anuj Kumar
+	Non-classical solutions of the $p$-Laplace equation	2024	Maria Colombo Riccardo Tione
+	Optimal regularity for the fully nonlinear thin obstacle problem	2024	Maria Colombo Xavier Fernández‐Real Xavier Ros‐Oton
+	Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik	2024	Dallas Albritton Elia Bruè Maria Colombo Camillo De Lellis Vikram Giri Maximilian Janisch Hyunju Kwon
+	A.3 Proof of Theorem 3.4	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	3.9 Proof of Proposition 3.17	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	B.4 Proof of Lemma 1.9	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	3.5 ODE Lemmas	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	2.3 Proof of Theorem 1.10: preliminary lemmas	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	4.1 Proof of Proposition 4.2	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	3.10 Proof of Lemma 3.19	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	3.7 Proof of Proposition 3.15: Part I	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	A.4 Proof of Proposition A.4	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	3.8 Proof of Proposition 3.15: Part II	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	3.4 Overview of the proof of Theorem 3.12	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	2.2 Proof of Theorem 2.4 and proof of Theorem 2.1(a)	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	3.6 Proof of Proposition 3.13	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	2.4 Proof of Theorem 1.10: conclusion	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	B.2 Proof of Theorem 0.3	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	B.3 Proof of Proposition 1.5	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+ PDF Chat	Gluing Non-unique Navier–Stokes Solutions	2023	Dallas Albritton Elia Bruè Maria Colombo
+ PDF Chat	Nonuniqueness of Solutions to the Euler Equations with Vorticity in a Lorentz Space	2023	Elia Bruè Maria Colombo
+ PDF Chat	Onsager critical solutions of the forced Navier-Stokes equations	2023	Elia Bruè Maria Colombo Gianluca Crippa Camillo De Lellis Massimo Sorella
+ PDF Chat	Non-uniqueness of Leray Solutions to the Hypodissipative Navier–Stokes Equations in Two Dimensions	2023	Dallas Albritton Maria Colombo
+ PDF Chat	Global regularity for the nonlinear wave equation with slightly supercritical power	2023	Maria Colombo Silja Haffter
+	A transmission problem with (<i>p</i>, <i>q</i>)-Laplacian	2023	Maria Colombo Sunghan Kim Henrik Shahgholian
+	Ole\uınik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit	2023	Giuseppe Maria Coclite Maria Colombo Gianluca Crippa Nicola De Nitti Alexander Keimer Elio Marconi Lukas Pflug Laura V. Spinolo
+	An overview on the local limit of non-local conservation laws, and a new proof of a compactness estimate	2023	Maria Colombo Gianluca Crippa Elio Marconi Laura V. Spinolo
+ PDF Chat	Non-uniqueness of Leray solutions of the forced Navier-Stokes equations	2022	Dallas Albritton Elia Bruè Maria Colombo
+ PDF Chat	The singular set of minimal surfaces near polyhedral cones	2022	Maria Colombo Nick Edelen Luca Spolaor
+ PDF Chat	Typicality results for weak solutions of the incompressible Navier–Stokes equations	2022	Maria Colombo Luigi De Rosa Massimo Sorella
+	Improved Hausdorff dimension estimate of the singular set of the supercritical surface quasigeostrophic equation	2022	Maria Colombo Silja Haffter
+	Non-classical solutions of the $p$-Laplace equation	2022	Maria Colombo Riccardo Tione
+	Anomalous dissipation and lack of selection in the Obukhov-Corrsin theory of scalar turbulence	2022	Maria Colombo Gianluca Crippa Massimo Sorella
+	Gluing non-unique Navier-Stokes solutions	2022	Dallas Albritton Elia Bruè Maria Colombo
+	Non-uniqueness of Leray solutions to the hypodissipative Navier-Stokes equations in two dimensions	2022	Dallas Albritton Maria Colombo
+	Infinite-width limit of deep linear neural networks	2022	Lénaïc Chizat Maria Colombo Xavier Fernández‐Real Alessio Figalli
+	Onsager critical solutions of the forced Navier-Stokes equations	2022	Elia Bruè Maria Colombo Gianluca Crippa Camillo De Lellis Massimo Sorella
+ PDF Chat	On the commutativity of flows of rough vector fields	2021	Maria Colombo Riccardo Tione
+ PDF Chat	Optimal regularity for the fully nonlinear thin obstacle problem	2021	Maria Colombo Xavier Fernández‐Real Xavier Ros‐Oton
+ PDF Chat	Stability of optimal traffic plans in the irrigation problem	2021	Maria Colombo Antonio De Rosa Andrea Marchese Paul Pegon Antoine Prouff
+ PDF Chat	On the role of numerical viscosity in the study of the local limit of nonlocal conservation laws	2021	Maria Colombo Gianluca Crippa Marie Graff Laura V. Spinolo
+ PDF Chat	Wild solutions of the Navier–Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1	2021	Tristan Buckmaster Maria Colombo Vlad Vicol
+	Mixing and diffusion for rough shear flows	2021	Maria Colombo Michele Coti Zelati Klaus Widmayer
+	Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem	2021	Maria Colombo Luca Spolaor Bozhidar Velichkov
+ PDF Chat	Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation	2021	Maria Colombo Silja Haffter
+ PDF Chat	Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves	2021	Elia Bruè Maria Colombo Camillo De Lellis
+	First order expansion in the semiclassical limit of the Levy-Lieb functional	2021	Maria Colombo Simone Di Marino Federico Stra
+	Optimal regularity for the fully nonlinear thin obstacle problem	2021	Maria Colombo Xavier Fernández‐Real Xavier Ros‐Oton
+	Instability and nonuniqueness for the $2d$ Euler equations in vorticity form, after M. Vishik	2021	Dallas Albritton Elia Bruè Maria Colombo Camillo De Lellis Vikram Giri Maximilian Janisch Hyunju Kwon
+	Non-uniqueness of Leray solutions of the forced Navier-Stokes equations	2021	Dallas Albritton Elia Bruè Maria Colombo
+	Nonuniqueness of solutions to the Euler equations with vorticity in a Lorentz space	2021	Elia Bruè Maria Colombo
+	Typicality results for weak solutions of the incompressible Navier--Stokes equations	2021	Maria Colombo Luigi De Rosa Massimo Sorella
+	A transmission problem for $(p,q)$-Laplacian	2021	Maria Colombo Sunghan Kim Henrik Shahgholian
+	Estimate on the dimension of the singular set of the supercritical surface quasigeostrophic equation	2020	Maria Colombo Silja Haffter
+ PDF Chat	Global regularity for the hyperdissipative Navier-Stokes equation below the critical order	2020	Maria Colombo Silja Haffter
+	On the commutativity of flows of rough vector fields	2020	Maria Colombo Riccardo Tione
+ PDF Chat	Bounds on optimal transport maps onto log-concave measures	2020	Maria Colombo Max Fathi
+ PDF Chat	Regularity results for rough solutions of the incompressible Euler equations via interpolation methods	2020	Maria Colombo Luigi De Rosa Luigi Forcella
+ PDF Chat	On the <scp>Well‐Posedness</scp> of Branched Transportation	2020	Maria Colombo Antonio De Rosa Andrea Marchese
+ PDF Chat	On the asymptotic behavior of the solutions to parabolic variational inequalities	2020	Maria Colombo Luca Spolaor Bozhidar Velichkov
+ PDF Chat	Regularity in Time of Hölder Solutions of Euler and Hypodissipative Navier--Stokes Equations	2020	Maria Colombo Luigi De Rosa
+	Mixing and diffusion for rough shear flows	2020	Maria Colombo Michele Coti Zelati Klaus Widmayer
+	Estimate on the dimension of the singular set of the supercritical surface quasigeostrophic equation	2020	Maria Colombo Silja Haffter
+	On the commutativity of flows of rough vector fields	2020	Maria Colombo Riccardo Tione
+	Global regularity for the hyperdissipative Navier-Stokes equation below the critical order	2019	Maria Colombo Silja Haffter
+	Bounds on optimal transport maps onto log-concave measures	2019	Maria Colombo Max Fathi
+ PDF Chat	The Generalized Caffarelli‐Kohn‐Nirenberg Theorem for the Hyperdissipative Navier‐Stokes System	2019	Maria Colombo Camillo De Lellis Annalisa Massaccesi
+	Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem	2019	Maria Colombo Luca Spolaor Bozhidar Velichkov
+ PDF Chat	Direct Epiperimetric Inequalities for the Thin Obstacle Problem and Applications	2019	Maria Colombo Luca Spolaor Bozhidar Velichkov
+	On the well-posedness of branched transportation.	2019	Maria Colombo Antonio De Rosa Andrea Marchese
+ PDF Chat	On the Singular Local Limit for Conservation Laws with Nonlocal Fluxes	2019	Maria Colombo Gianluca Crippa Laura V. Spinolo
+ PDF Chat	Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope	2019	Luigi Ambrosio Maria Colombo Simone Di Marino
+	Stability for the mailing problem	2019	Maria Colombo Antonio De Rosa Andrea Marchese
+	Recent results on the singular local limit for nonlocal conservation laws	2019	Maria Colombo Gianluca Crippa Marie Graff Laura V. Spinolo
+ PDF Chat	Continuity of Multimarginal Optimal Transport with Repulsive Cost	2019	Maria Colombo Simone Di Marino Federico Stra
+ PDF Chat	Quantitative estimate on singularities in isoperimetric clusters	2019	Maria Colombo Luca Spolaor
+	Bounds on optimal transport maps onto log-concave measures	2019	Maria Colombo Max Fathi
+	Global regularity for the hyperdissipative Navier-Stokes equation below the critical order	2019	Maria Colombo Silja Haffter
+	Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem	2019	Maria Colombo Luca Spolaor Bozhidar Velichkov
+	On the role of numerical viscosity in the study of the local limit of nonlocal conservation laws	2019	Maria Colombo Gianluca Crippa Marie Graff Laura V. Spinolo
+	Global regularity for the nonlinear wave equation with slightly supercritical power	2019	Maria Colombo Silja Haffter
+	Regularity in time of H\"older solutions of Euler and hypodissipative Navier-Stokes equations	2018	Maria Colombo Luigi De Rosa
+	Logarithmic estimates for continuity equations	2018	Maria Colombo Gianluca Crippa Stefano Spirito
+	Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1	2018	Tristan Buckmaster Maria Colombo Vlad Vicol
+	Blow-up of the total variation in the local limit of a nonlocal traffic model	2018	Maria Colombo Gianluca Crippa Laura V. Spinolo
+ PDF Chat	Ill-Posedness of Leray Solutions for the Hypodissipative Navier–Stokes Equations	2018	Maria Colombo Camillo De Lellis Luigi De Rosa
+ PDF Chat	A logarithmic epiperimetric inequality for the obstacle problem	2018	Maria Colombo Luca Spolaor Bozhidar Velichkov
+ PDF Chat	Regularity for general functionals with double phase	2018	Paolo Baroni Maria Colombo Giuseppe Mingione
+ PDF Chat	Improved stability of optimal traffic paths	2018	Maria Colombo Antonio De Rosa Andrea Marchese
+	Stability for the mailing problem	2018	Maria Colombo Antonio De Rosa Andrea Marchese
+	Regularity in time of Hölder solutions of Euler and hypodissipative Navier-Stokes equations	2018	Maria Colombo Luigi De Rosa
+	Logarithmic estimates for continuity equations	2018	Maria Colombo Gianluca Crippa Stefano Spirito
+	Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1	2018	Tristan Buckmaster Maria Colombo Vlad Vicol
+	Stability for the mailing problem	2018	Maria Colombo Antonio De Rosa Andrea Marchese
+	The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system	2017	Maria Colombo Camillo De Lellis Annalisa Massaccesi
+ PDF Chat	Lipschitz changes of variables between perturbations of log-concave measures	2017	Maria Colombo Alessio Figalli Yash Jhaveri
+	On the singular local limit for conservation laws with nonlocal fluxes	2017	Maria Colombo Gianluca Crippa Laura V. Spinolo
+	Direct epiperimetric inequalities for the thin obstacle problem and applications	2017	Maria Colombo Luca Spolaor Bozhidar Velichkov
+ PDF Chat	On the Lagrangian structure of transport equations: The Vlasov–Poisson system	2017	Luigi Ambrosio Maria Colombo Alessio Figalli
+ PDF Chat	On the lower semicontinuous envelope of functionals defined on polyhedral chains	2017	Maria Colombo Antonio De Rosa Andrea Marchese Salvatore Stuvard
+	Regularity for general functionals with double phase	2017	Paolo Baroni Maria Colombo Giuseppe Mingione
+ PDF Chat	Optimality of integrability estimates for advection–diffusion equations	2017	Stefano Bianchini Maria Colombo Gianluca Crippa Laura V. Spinolo
+	Optimality of integrability estimates for advection-diffusion equations	2017	Stefano Bianchini Maria Colombo Gianluca Crippa Laura V. Spinolo
+ PDF Chat	Essential connectedness and the rigidity problem for Gaussian symmetrization	2017	Filippo Cagnetti Maria Colombo Guido De Philippis Francesco Maggi
+	Improved stability of optimal traffic paths	2017	Maria Colombo Antonio De Rosa Andrea Marchese
+	An excess-decay result for a class of degenerate elliptic equations	2017	Maria Colombo
+	Maximal regular flows for non-smooth vector fields	2017	Maria Colombo
+	Flows of Non-smooth Vector Fields and Degenerate Elliptic Equations	2017	Maria Colombo
+	An overview on flows of vector fields and on optimal transport	2017	Maria Colombo
+	The Vlasov-Poisson system	2017	Maria Colombo
+	Lagrangian structure of transport equations	2017	Maria Colombo
+	On the singular local limit for conservation laws with nonlocal fluxes	2017	Maria Colombo Gianluca Crippa Laura V. Spinolo
+ PDF Chat	Regularity results for very degenerate elliptic equations	2017	Maria Colombo
+	Regularity for general functionals with double phase	2017	Paolo Baroni Maria Colombo Giuseppe Mingione
+	Optimality of integrability estimates for advection-diffusion equations	2017	Stefano Bianchini Maria Colombo Gianluca Crippa Laura V. Spinolo
+	Direct epiperimetric inequalities for the thin obstacle problem and applications	2017	Maria Colombo Luca Spolaor Bozhidar Velichkov
+	A logarithmic epiperimetric inequality for the obstacle problem	2017	Maria Colombo Luca Spolaor Bozhidar Velichkov
+	The singular set of minimal surfaces near polyhedral cones	2017	Maria Colombo Nick Edelen Luca Spolaor
+	The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system	2017	Maria Colombo Camillo De Lellis Annalisa Massaccesi
+	On the singular local limit for conservation laws with nonlocal fluxes	2017	Maria Colombo Gianluca Crippa Laura V. Spinolo
+	Improved stability of optimal traffic paths	2017	Maria Colombo A. De Rosa Andrea Marchese
+ PDF Chat	Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters	2016	Maria Colombo Francesco Maggi
+	Quantitative estimate on singularities in isoperimetric clusters	2016	Maria Colombo Luca Spolaor
+	Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters	2016	Maria Colombo Francesco Maggi
+	Minimizing movements along a sequence of functionals and curves of maximal slope	2016	Andrea Braides Maria Colombo Massimo Gobbino Margherita Solci
+ PDF Chat	Non-autonomous functionals, borderline cases and related function classes	2016	Paolo Baroni Maria Colombo Giuseppe Mingione
+ PDF Chat	Logarithmic estimates for continuity equations	2016	Maria Colombo Gianluca Crippa Stefano Spirito
+	Minimizing movements along a sequence of functionals and curves of maximal slope	2016	Andrea Braides Maria Colombo Massimo Gobbino Margherita Solci
+ PDF Chat	Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data	2016	Maria Colombo Federico Stra
+	Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters	2016	Maria Colombo Francesco Maggi
+	Quantitative estimate on singularities in isoperimetric clusters	2016	Maria Colombo Luca Spolaor
+	Minimizing movements along a sequence of functionals and curves of maximal slope	2016	Andrea Braides Maria Colombo Massimo Gobbino Margherita Solci
+	Lipschitz Changes of Variables between Perturbations of Log-concave Measures	2015	Maria Colombo Alessio Figalli Yash Jhaveri
+	Calderón–Zygmund estimates and non-uniformly elliptic operators	2015	Maria Colombo Giuseppe Mingione
+	Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data	2015	Maria Colombo Federico Stra
+ PDF Chat	Existence and Uniqueness of Maximal Regular Flows for Non-smooth Vector Fields	2015	Luigi Ambrosio Maria Colombo Alessio Figalli
+	Bounded Minimisers of Double Phase Variational Integrals	2015	Maria Colombo Giuseppe Mingione
+ PDF Chat	Renormalized solutions to the continuity equation with an integrable damping term	2015	Maria Colombo Gianluca Crippa Stefano Spirito
+	Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data	2015	Maria Colombo Federico Stra
+	Lipschitz Changes of Variables between Perturbations of Log-concave Measures	2015	Maria Colombo Alessio Figalli Yash Jhaveri
+ PDF Chat	Rigidity of equality cases in Steiner’s perimeter inequality	2014	Filippo Cagnetti Maria Colombo Guido De Philippis Francesco Maggi
+	Harnack inequalities for double phase functionals	2014	Paolo Baroni Maria Colombo Giuseppe Mingione
+	Renormalized solutions to the continuity equation with an integrable damping term	2014	Maria Colombo Gianluca Crippa Stefano Spirito
+	Regularity for Double Phase Variational Problems	2014	Maria Colombo Giuseppe Mingione
+ PDF Chat	Multimarginal Optimal Transport Maps for One–dimensional Repulsive Costs	2014	Maria Colombo Luigi De Pascale Simone Di Marino
+ PDF Chat	Obstructions to regularity in the classical Monge problem	2014	Maria Colombo Emanuel Indrei
+ PDF Chat	An excess-decay result for a class of degenerate elliptic equations	2014	Maria Colombo Alessio Figalli
+	Renormalized solutions to the continuity equation with an integrable damping term	2014	Maria Colombo Gianluca Crippa Stefano Spirito
+	Obstructions to regularity in the classical Monge problem	2013	Maria Colombo Emanuel Indrei
+ PDF Chat	A global existence result for the semigeostrophic equations in three dimensional convex domains	2013	Luigi Ambrosio Maria Colombo Guido De Philippis Alessio Figalli
+ PDF Chat	Equality between Monge and Kantorovich multimarginal problems with Coulomb cost	2013	Maria Colombo Simone Di Marino
+	Regularity results for very degenerate elliptic equations	2013	Maria Colombo Alessio Figalli
+	Essential connectedness and the rigidity problem for Gaussian symmetrization	2013	Filippo Cagnetti Maria Colombo Guido De Philippis Francesco Maggi
+	Obstructions to regularity in the classical Monge problem	2013	Maria Colombo Emanuel Indrei
+	Essential connectedness and the rigidity problem for Gaussian symmetrization	2013	Filippo Cagnetti Maria Colombo Guido De Philippis Francesco Maggi
+	Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope	2012	Luigi Ambrosio Maria Colombo Simone Di Marino
+	A global existence result for the semigeostrophic equations in three dimensional convex domains	2012	Luigi Ambrosio Maria Colombo Guido De Philippis Alessio Figalli
+ PDF Chat	PASSING TO THE LIMIT IN MAXIMAL SLOPE CURVES: FROM A REGULARIZED PERONA–MALIK EQUATION TO THE TOTAL VARIATION FLOW	2012	Maria Colombo Massimo Gobbino
+ PDF Chat	Existence of Eulerian Solutions to the Semigeostrophic Equations in Physical Space: The 2-Dimensional Periodic Case	2012	Luigi Ambrosio Maria Colombo Guido De Philippis Alessio Figalli
+	Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope	2012	Luigi Ambrosio Maria Colombo Simone Di Marino
+	A global existence result for the semigeostrophic equations in three dimensional convex domains	2012	Luigi Ambrosio Maria Colombo Guido De Philippis Alessio Figalli
+	Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case	2011	Luigi Ambrosio Maria Colombo Guido De Philippis Alessio Figalli
+	Slow Time Behavior of the Semidiscrete Perona–Malik Scheme in One Dimension	2011	Maria Colombo Massimo Gobbino
+	Passing to the limit in maximal slope curves: from a regularized Perona-Malik equation to the total variation flow	2011	Maria Colombo Massimo Gobbino
+	Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case	2011	Luigi Ambrosio Maria Colombo Guido De Philippis Alessio Figalli
+	Passing to the limit in maximal slope curves: from a regularized Perona-Malik equation to the total variation flow	2011	Maria Colombo Massimo Gobbino
+	Slow time behavior of the semidiscrete Perona-Malik scheme in dimension one	2010	Maria Colombo
+ PDF Chat	Ground state and excitation dynamics in Ag doped helium clusters	2002	Massimo Mella Maria Colombo Gabriele Morosi

Common Coauthors

Coauthor	Papers Together
Elia Bruè	30
Dallas Albritton	25
Gianluca Crippa	24
Maximilian Janisch	19
Vikram Giri	19
HyunjuVE Kwon	17
Laura V. Spinolo	15
Alessio Figalli	15
Luca Spolaor	14
Guido De Philippis	10
Andrea Marchese	10
Antonio De Rosa	9
Camillo De Lellis	9
Bozhidar Velichkov	9
Silja Haffter	9
Luigi Ambrosio	8
Giuseppe Mingione	8
Massimo Gobbino	7
Simone Di Marino	7
Francesco Maggi	7
Stefano Spirito	6
Riccardo Tione	5
Xavier Fernández‐Real	5
Luigi De Rosa	5
Massimo Sorella	5
Paolo Baroni	5
Federico Stra	5
Filippo Cagnetti	4
Andrea Braides	3
Max Fathi	3
Emanuel Indrei	3
Stefano Bianchini	3
Marie Graff	3
Tristan Buckmaster	3
Yash Jhaveri	3
Margherita Solci	3
Xavier Ros‐Oton	3
Elio Marconi	3
Luigi Ambrosio	3
Vlad Vicol	3
Annalisa Massaccesi	3
Hyunju Kwon	2
Sunghan Kim	2
Giuseppe Maria Coclite	2
Nick Edelen	2
Michele Coti Zelati	2
Lukas Pflug	2
Lénaïc Chizat	2
Alexander Keimer	2
Klaus Widmayer	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Direct Methods in the Calculus of Variations	2003	Enrico Giusti	12
+	Ordinary differential equations, transport theory and Sobolev spaces	1989	Ronald J. DiPerna Pierre Louis Lions	11
+	Transport equation and Cauchy problem for BV vector fields	2004	Luigi Ambrosio	11
+	Partial regularity of suitable weak solutions of the navier‐stokes equations	1982	Luis Caffarelli Robert V. Kohn Louis Nirenberg	10
+	Optimal Transport: Old and New	2013	Cédric Villani	10
+	Partial Regularity of Suitable Weak Solutions to the Fractional Navier–Stokes Equations	2014	Lan Tang Yong Yu	9
+ PDF Chat	Regularity for a class of non-linear elliptic systems	1977	Karen Uhlenbeck	9
+ PDF Chat	Estimates and regularity results for the DiPerna-Lions flow	2008	Gianluca Crippa Camillo De Lellis	8
+	The Structure of Singularities in Soap-Bubble-Like and Soap-Film-Like Minimal Surfaces	1976	Jean E. Taylor	8
+ PDF Chat	OPTIMAL PATHS RELATED TO TRANSPORT PROBLEMS	2003	Qinglan Xia	8
+ PDF Chat	Nonuniqueness of weak solutions to the Navier-Stokes equation	2019	Tristan Buckmaster Vlad Vicol	8
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	8
+ PDF Chat	A proof of Onsager's conjecture	2018	Philip Isett	8
+	Bounded Minimisers of Double Phase Variational Integrals	2015	Maria Colombo Giuseppe Mingione	7
+	Regularity and existence of solutions of elliptic equations with p,q-growth conditions	1991	Paolo Marcellini	7
+ PDF Chat	Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions	1989	Paolo Marcellini	7
+	Sharp regularity for functionals with (p,q) growth	2004	Luca Esposito Francesco Leonetti Giuseppe Mingione	7
+	The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations	1991	Gary M. Lieberman	7
+ PDF Chat	Onsager's Conjecture for Admissible Weak Solutions	2018	Tristan Buckmaster Camillo De Lellis László Székelyhidi Vlad Vicol	7
+	Regularity for minima of functionals with p-growth	1988	Juan J. Manfredi	7
+	Global regularity for a logarithmically supercritical hyperdissipative Navier–Stokes equation	2009	Terence Tao	7
+	Scalar Minimizers with Fractal Singular Sets	2004	Irene Fonseca Jan Mal� Giuseppe Mingione	7
+	The Singular Set of Minima of Integral Functionals	2005	Jan Kristensen Giuseppe Mingione	7
+	Elementary properties of optimal irrigation patterns	2006	Giuseppe Devillanova Sergio Solimini	7
+ PDF Chat	11. On the Lagrangian branched transport model and the equivalence with its Eulerian formulation	2017	Paul Pegon	7
+	Fractal regularity results on optimal irrigation patterns	2014	Alessio Brancolini Sergio Solimini	7
+ PDF Chat	Ill-Posedness of Leray Solutions for the Hypodissipative Navier–Stokes Equations	2018	Maria Colombo Camillo De Lellis Luigi De Rosa	7
+	Regularity for Double Phase Variational Problems	2014	Maria Colombo Giuseppe Mingione	7
+ PDF Chat	Approximation of Length Minimization Problems Among Compact Connected Sets	2015	Matthieu Bonnivard Antoine Lemenant Filippo Santambrogio	6
+ PDF Chat	Partial regularity of solutions to the Navier-Stokes equations	1976	Vladimir Scheffer	6
+ PDF Chat	Density Functional Theory and Optimal Transportation with Coulomb Cost	2012	Codina Cotar Gero Friesecke Claudia Klüppelberg	6
+ PDF Chat	Regularity of minima: An invitation to the dark side of the calculus of variations	2006	Giuseppe Mingione	6
+	The structure of branched transportation networks	2007	Marc Bernot Vicent Caselles Jean‐Michel Morel	6
+ PDF Chat	The Generalized Caffarelli‐Kohn‐Nirenberg Theorem for the Hyperdissipative Navier‐Stokes System	2019	Maria Colombo Camillo De Lellis Annalisa Massaccesi	6
+	The Regularity of Optimal Irrigation Patterns	2009	Jean‐Michel Morel Filippo Santambrogio	6
+	Regularity Results for a Class of Functionals with Non-Standard Growth	2001	E. Acerbi Giuseppe Mingione	6
+	On functions of bounded mean oscillation	1961	Franklin John Louis Nirenberg	6
+ PDF Chat	Dissipative continuous Euler flows	2012	Camillo De Lellis László Székelyhidi	6
+	Lecture Notes on Optimal Transport Problems	2003	Luigi Ambrosio	6
+ PDF Chat	An Extension Problem Related to the Fractional Laplacian	2007	Luis Caffarelli Luís Silvestre	6
+ PDF Chat	A Benamou–Brenier Approach to Branched Transport	2011	Lorenzo Brasco Giuseppe Buttazzo Filippo Santambrogio	6
+ PDF Chat	A Modica-Mortola Approximation for Branched Transport and Applications	2011	Èdouard Oudet Filippo Santambrogio	6
+ PDF Chat	Optimal-transport formulation of electronic density-functional theory	2012	Giuseppe Buttazzo Luigi De Pascale Paola Gori‐Giorgi	6
+ PDF Chat	Infinitely many Leray–Hopf solutions for the fractional Navier–Stokes equations	2018	Luigi De Rosa	6
+ PDF Chat	Boundary regularity of optimal transport paths	2010	Qinglan Xia	6
+ PDF Chat	Non-uniqueness for the Transport Equation with Sobolev Vector Fields	2018	Stefano Modena László Székelyhidi	6
+	Interior regularity of optimal transport paths	2004	Qinglan Xia	6
+	C1,α-solutions to non-autonomous anisotropic variational problems	2005	Michael Bildhauer Martin Fuchs	6
+	Gradient Flows: In Metric Spaces and in the Space of Probability Measures	2005	Luigi Ambrosio Nicola Gigli Giuseppe Savaré	6
+ PDF Chat	Path Functionals over Wasserstein Spaces	2006	Alessio Brancolini Giuseppe Buttazzo Filippo Santambrogio	6