Frédéric Robert

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All published works

Action	Title	Year	Authors
+	One-bubble nodal blow-up for asymptotically critical stationary Schrödinger-type equations	2025	Bruno Premoselli Frédéric Robert
+ PDF Chat	Localization of bubbling for high order nonlinear equations	2024	Frédéric Robert
+ PDF Chat	Critical dimensions for polyharmonic operators: The Pucci-Serrin conjecture for solutions of bounded energy	2024	Frédéric Robert
+ PDF Chat	One-bubble nodal blow-up for asymptotically critical stationary Schr\"odinger-type equations	2024	Bruno Premoselli Frédéric Robert
+ PDF Chat	Concentration analysis for elliptic critical equations with no boundary control: Ground-state blow-up	2023	Hussein Mesmar Frédéric Robert
+	Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity	2023	Nassif Ghoussoub Saikat Mazumdar Frédéric Robert
+	Concentration analysis for elliptic critical equations with no boundary control: ground-state blow-up	2023	Hussein Mesmar Frédéric Robert
+ PDF Chat	The Hardy–Schrödinger operator on the Poincaré ball: Compactness, multiplicity, and stability of the Pohozaev obstruction	2022	Nassif Ghoussoub Saikat Mazumdar Frédéric Robert
+	Blowing-up Solutions for 2nd-Order Critical Elliptic Equations: The Impact of the Scalar Curvature	2021	Frédéric Robert Jérôme Vétois
+ PDF Chat	The Hardy-Schrödinger operator on the Poincaré Ball: compactness and multiplicity	2021	Nassif Ghoussoub Saikat Mazumdar Frédéric Robert
+ PDF Chat	Existence of sharp asymptotic profiles of singular solutions to an elliptic equation with a sign-changing non-linearity	2019	Florica C. Cîrstea Frédéric Robert Jérôme Vétois
+	Blowing-up solutions for second-order critical elliptic equations: the impact of the scalar curvature	2019	Frédéric Robert Jérôme Vétois
+	Existence of sharp asymptotic profiles of singular solutions to an elliptic equation with a sign-changing non-linearity	2019	Florica C. Cîrstea Frédéric Robert Jérôme Vétois
+	Mass and asymptotics associated to fractional Hardy–Schrödinger operators in critical regimes	2018	Nassif Ghoussoub Frédéric Robert Shaya Shakerian Mingfeng Zhao
+ PDF Chat	The Hardy–Schrödinger operator with interior singularity: the remaining cases	2017	Nassif Ghoussoub Frédéric Robert
+ PDF Chat	Hardy-singular boundary mass and Sobolev-critical variational problems	2017	Nassif Ghoussoub Frédéric Robert
+ PDF Chat	Nondegeneracy of positive solutions to nonlinear Hardy–Sobolev equations	2017	Frédéric Robert
+	Mass and Asymptotics associated to Fractional Hardy-Schrödinger Operators in Critical Regimes	2017	Nassif Ghoussoub Frédéric Robert Shaya Shakerian Mingefeng Zhao
+ PDF Chat	Sharp asymptotic profiles for singular solutions to an elliptic equation with a sign‐changing non‐linearity	2017	Florica C. Cîrstea Frédéric Robert
+	The Hardy-Schr\"odinger operator with interior singularity: The remaining cases	2016	Nassif Ghoussoub Frédéric Robert
+	Nondegeneracy of positive solutions to nonlinear Hardy-Sobolev equations	2016	Frédéric Robert
+ PDF Chat	Sobolev inequalities for the Hardy–Schrödinger operator: extremals and critical dimensions	2015	Nassif Ghoussoub Frédéric Robert
+	Sobolev inequalities for the Hardy-Schr\"odinger operator: Extremals and critical dimensions	2015	Nassif Ghoussoub Frédéric Robert
+ PDF Chat	Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold	2014	Frédéric Robert Jérôme Vétois
+	On the Hardy-Schrodinger operator with a boundary singularity	2014	Nassif Ghoussoub Frédéric Robert
+ PDF Chat	On the Hardy-Schr\"odinger operator with a boundary singularity	2014	Nassif Ghoussoub Frédéric Robert
+ PDF Chat	Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non-locally conformally flat manifolds	2014	Frédéric Robert Jérôme Vétois
+	On the Hardy-Schrödinger operator with a singularity on the boundary	2014	Frédéric Robert
+	Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold	2014	Frédéric Robert Jérôme Vétois
+	Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non locally conformally flat manifolds	2013	Frédéric Robert Jérôme Vétois
+	Uniform estimates for polyharmonic Green functions in domains with small holes	2013	Hans-Christoph Grunau Frédéric Robert
+	A General Theorem for the Construction of Blowing-up Solutions to Some Elliptic Nonlinear Equations via Lyapunov– Schmidt’s Finite-dimensional Reduction	2013	Frédéric Robert Jérôme Vétois
+ PDF Chat	Sign-Changing Blow-Up for Scalar Curvature Type Equations	2012	Frédéric Robert Jérôme Vétois
+	Stability of the positivity of biharmonic Green's functions under perturbations of the domain	2012	Hans-Christoph Grunau Frédéric Robert
+	The Lin-Ni's problem for mean convex domains	2011	Olivier Druet Frédéric Robert Juncheng Wei
+	Asymptotic analysis for fourth order Paneitz equations with critical growth	2011	Emmanuel Hebey Frédéric Robert
+	Optimal estimates from below for biharmonic Green functions	2011	Hans-Christoph Grunau Frédéric Robert Guido Sweers
+	The Lin-Ni's problem for mean convex domains	2011	Olivier Druet Frédéric Robert Juncheng Wei
+ PDF Chat	Optimal estimates from below for biharmonic Green functions	2010	Hans-Christoph Grunau Frédéric Robert Guido Sweers
+ PDF Chat	Asymptotic analysis for fourth order Paneitz equations with critical growth	2010	Emmanuel Hebey Frédéric Robert
+	Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45)	2009	Olivier Druet Emmanuel Hebey Frédéric Robert
+ PDF Chat	Admissible $Q-$curvatures under isometries for the conformal GJMS operators	2009	Frédéric Robert
+ PDF Chat	The heat flow with a critical exponential nonlinearity	2009	Tobias Lamm Frédéric Robert Michaël Struwe
+ PDF Chat	Positivity and Almost Positivity of Biharmonic Green’s Functions under Dirichlet Boundary Conditions	2009	Hans-Christoph Grunau Frédéric Robert
+	Elliptic equations with critical growth and a large set of boundary singularities	2009	Nassif Ghoussoub Frédéric Robert
+	The heat flow with a critical exponential nonlinearity	2009	Tobias Lamm Frédéric Robert Michaël Struwe
+ PDF Chat	Boundedness of the negative part of biharmonic Green's functions under Dirichlet boundary conditions in general domains	2009	Hans-Christoph Grunau Frédéric Robert
+	On a p-Laplace equation with multiple critical nonlinearities	2008	Roberta Filippucci Patrizia Pucci Frédéric Robert
+ PDF Chat	Asymptotic behavior of a fourth order mean field equation with Dirichlet boundary condition	2008	Frédéric Robert Juncheng Wei
+	Sobolev spaces on manifolds	2008	Emmanuel Hebey Frédéric Robert
+	On a $p$--Laplace equation with multiple critical nonlinearities	2008	Roberta Filippucci Patrizia Pucci Frédéric Robert
+	On the influence of the kernel of the bi-harmonic operator on fourth order equations with exponential growth	2007	Frédéric Robert
+ PDF Chat	On the local Nirenberg problem for the Q-curvatures	2007	Philippe Delanoë Frédéric Robert
+	Asymptotic behavior of a fourth order mean field equation with Dirichlet boundary condition	2007	Frédéric Robert Juncheng Wei
+	Positivity and almost positivity of biharmonic Green's functions under Dirichlet boundary conditions	2007	Hans-Christoph Grunau Frédéric Robert
+ PDF Chat	The effect of curvature on the best constant in the Hardy–Sobolev inequalities	2006	Nassif Ghoussoub Frédéric Robert
+ PDF Chat	Concentration phenomena for Liouville's equation in dimension four	2006	Karthik Adimurthi Frédéric Robert Michaël Struwe
+	Concentration phenomena for a fourth-order equation with exponential growth: The radial case	2006	Frédéric Robert
+ PDF Chat	Concentration estimates for Emden-Fowler equations with boundary singularities and critical growth	2006	Nassif Ghoussoub Frédéric Robert
+	COMPACTNESS AND GLOBAL ESTIMATES FOR A FOURTH ORDER EQUATION OF CRITICAL SOBOLEV GROWTH ARISING FROM CONFORMAL GEOMETRY	2006	Emmanuel Hebey Frédéric Robert Yuliang Wen
+	On the local Nirenberg problem for the $Q$-curvatures	2006	Philippe Delanoë Frédéric Robert
+	Bubbling phenomena for fourth-order four-dimensional PDEs with exponential growth	2005	Olivier Druet Frédéric Robert
+ PDF Chat	Fourth order equations of critical Sobolev growth. Energy function and solutions of bounded energy in the conformally flat case	2005	Veronica Felli Emmanuel Hebey Frédéric Robert
+	Quantization effects for a fourth order equation of exponential growth in dimension four	2005	Frédéric Robert
+	The Effect of Curvature on the Best Constatnt in the Hardy-Sobolev Inequalities	2005	Nassif Ghoussoub Frédéric Robert
+	Concentration Estimates for Emden-Fowler Equations with Boundary Singularities and Critical Growth	2005	Nassif Ghoussoub Frédéric Robert
+	Elliptic Equations with Critical Growth and a Large Set of Boundary Singularities	2005	Nassif Ghoussoub Frédéric Robert
+	Concentration phenomena for a fourth order equations with exponential growth: the radial case	2005	Frédéric Robert
+	Compactness and global estimates for the geometric Paneitz equation in high dimensions	2004	Emmanuel Hebey Frédéric Robert
+ PDF Chat	Asymptotic Profile for a Fourth Order PDE with Critical Exponential Growth in Dimension Four	2004	Frédéric Robert Michaël Struwe
+	Blow-up Theory for Elliptic PDEs in Riemannian Geometry	2004	Olivier Druet Emmanuel Hebey Frédéric Robert
+	A 𝐶⁰-theory for the blow-up of second order elliptic equations of critical Sobolev growth	2003	Olivier Druet Emmanuel Hebey Frédéric Robert
+ PDF Chat	Sharp solvability conditions for a fourth-order equation with perturbation	2003	Frédéric Robert Kunnath Sandeep
+	None	2002	Pierpaolo Esposito Frédéric Robert
+	Positive solutions for a fourth order equation invariant under isometries	2002	Frédéric Robert
+	Asymptotic behaviour of a nonlinear elliptic equation with critical Sobolev exponent: The radial case II	2002	Frédéric Robert
+	Fourth order equations of critical Sobolev growth. Energy function and solutions of bounded energy in the conformally flat case	2002	Veronica Felli Emmanuel Hebey Frédéric Robert
+	ASYMPTOTIC PROFILE FOR THE SUB-EXTREMALS OF THE SHARP SOBOLEV INEQUALITY ON THE SPHERE	2001	Olivier Druet Frédéric Robert

Common Coauthors

Coauthor	Papers Together
Nassif Ghoussoub	18
Jérôme Vétois	10
Olivier Druet	7
Hans-Christoph Grunau	7
Emmanuel Hebey	6
Juncheng Wei	4
Emmanuel Hebey	4
Michaël Struwe	4
Saikat Mazumdar	3
Florica C. Cîrstea	3
Patrizia Pucci	2
Tobias Lamm	2
Hussein Mesmar	2
Philippe Delanoë	2
Veronica Felli	2
Bruno Premoselli	2
Shaya Shakerian	2
Guido Sweers	2
Roberta Filippucci	2
Pierpaolo Esposito	1
Mingefeng Zhao	1
Karthik Adimurthi	1
Mingfeng Zhao	1
Kunnath Sandeep	1
Yuliang Wen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	19
+ PDF Chat	From One Bubble to Several Bubbles: The Low-Dimensional Case	2003	Olivier Druet	18
+	Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth	1989	Luis Caffarelli Basilis Gidas Joel Spruck	18
+	Blow-up Theory for Elliptic PDEs in Riemannian Geometry	2004	Olivier Druet Emmanuel Hebey Frédéric Robert	17
+ PDF Chat	The effect of curvature on the best constant in the Hardy–Sobolev inequalities	2006	Nassif Ghoussoub Frédéric Robert	16
+ PDF Chat	Elliptic equations with critical Sobolev exponents in dimension 3	2002	Olivier Druet	16
+	Coercivity and Struwe's compactness for Paneitz type operators with constant coefficients	2001	Emmanuel Hebey Fr x E d x E ric Robert	15
+	The best constants problem in Sobolev inequalities	1999	Olivier Druet	13
+ PDF Chat	Concentration estimates for Emden-Fowler equations with boundary singularities and critical growth	2006	Nassif Ghoussoub Frédéric Robert	13
+	Positive solutions of nonlinear elliptic equations involving critical sobolev exponents	1983	Haı̈m Brezis Louis Nirenberg	13
+ PDF Chat	A classification of solutions of a conformally invariant fourth order equation in R n	1998	Chang‐Shou Lin	13
+ PDF Chat	Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents	2000	Nassif Ghoussoub Chenggui Yuan	13
+ PDF Chat	Conformal deformation of a Riemannian metric to constant scalar curvature	1984	Richard Schoen	12
+	Prescribed scalar curvature on then-sphere	1996	Richard Schoen Dong Zhang	12
+	The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds	1995	Emmanuel Hebey Michel Vaugon	12
+	Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I	1959	Shmuel Agmon Avron Douglis Louis Nirenberg	12
+	YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS	1999	Yanyan Li Mei‐Jun Zhu	12
+	First order interpolation inequalities with weights	1984	Luis Caffarelli Robert V. Kohn Louis Nirenberg	12
+ PDF Chat	Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent	1991	Zheng-Chao Han	11
+ PDF Chat	Variational theory for the total scalar curvature functional for riemannian metrics and related topics	1989	Richard Schoen	11
+	On the Best Constant for a Weighted Sobolev-Hardy Inequality	1993	Kai Seng Chou Chiu‐Wing Winnie Chu	11
+ PDF Chat	Best constant in Sobolev inequality	1976	Giorgio Talenti	11
+ PDF Chat	The Yamabe problem	1987	John M. Lee Thomas H. Parker	11
+ PDF Chat	On the Caffarelli-Kohn-Nirenberg inequalities: Sharp constants, existence (and nonexistence), and symmetry of extremal functions	2000	Florin Catrina Zhi-Qiang Wang	11
+ PDF Chat	Symmetry and related properties via the maximum principle	1979	Basilis Gidas Wei‐Ming Ni Louis Nirenberg	11
+	The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains	1994	Henri Berestycki Louis Nirenberg S. R. S. Varadhan	11
+	COMPACTNESS AND GLOBAL ESTIMATES FOR A FOURTH ORDER EQUATION OF CRITICAL SOBOLEV GROWTH ARISING FROM CONFORMAL GEOMETRY	2006	Emmanuel Hebey Frédéric Robert Yuliang Wen	11
+	Elliptic equations with nearly critical growth	1987	F. V. Atkinson L. A. Peletier	11
+	None	2004	Olivier Druet	10
+ PDF Chat	A compactness theorem for the Yamabe problem	2009	Marcus Khuri Fernando C. Marques Richard Schoen	10
+ PDF Chat	Problèmes isopérimétriques et espaces de Sobolev	1976	Thierry Aubin	10
+	A global compactness result for elliptic boundary value problems involving limiting nonlinearities	1984	Michaël Struwe	10
+ PDF Chat	Positive solutions of semilinear equations in cones	1992	Henrik Egnell	9
+	Asymptotic behaviour of a nonlinear elliptic equation with critical Sobolev exponent: The radial case II	2002	Frédéric Robert	8
+	Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities	2002	Élliott H. Lieb	8
+	Elliptic problems with critical exponents and Hardy potentials	2003	David Ruiz M. Willem	8
+	Hardy–Sobolev critical elliptic equations with boundary singularities	2004	Nassif Ghoussoub Xiaosong Kang	8
+	Group representations arising from Lorentz conformal geometry	1987	Thomas Branson	8
+ PDF Chat	Sobolev inequalities for the Hardy–Schrödinger operator: extremals and critical dimensions	2015	Nassif Ghoussoub Frédéric Robert	8
+ PDF Chat	Functional Inequalities: New Perspectives and New Applications	2013	Nassif Ghoussoub Amir Moradifam	7
+	Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities	2004	Didier Smets	7
+ PDF Chat	Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions	1997	Hans-Christoph Grunau Guido Sweers	7
+	Bubbling phenomena for fourth-order four-dimensional PDEs with exponential growth	2005	Olivier Druet Frédéric Robert	7
+	Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems	2004	Anna Dall’Acqua Guido Sweers	7
+	Global Compactness Properties of Semilinear Elliptic Equations with Critical Exponential Growth	2000	Adimurthi Michaël Struwe	7
+ PDF Chat	Concentration phenomena for Liouville's equation in dimension four	2006	Karthik Adimurthi Frédéric Robert Michaël Struwe	7
+	Compactness of solutions to some geometric fourth-order equations	2006	Andrea Malchiodi	7
+	Conformally flat manifolds, Kleinian groups and scalar curvature	1988	Richard Schoen Shing‐Tung Yau	7
+	Asymptotic behavior of a nonlinear fourth order eigenvalue problem	1996	Juncheng Wei	6
+ PDF Chat	The conjectures on conformal transformations of Riemannian manifolds	1971	Morio Obata	6