Edit Profile (opens in new tab) Hebey, Emmanuel Co-Author Distance Author ID: hebey.emmanuel Published as: Hebey, Emmanuel; Hebey, E.; Hebey, Emmanuela; Hebey, Émmanuel more...less Homepage: https://hebey.u-cergy.fr/ External Links: MGP Documents Indexed: 93 Publications since 1990, including 6 Books Reviewing Activity: 16 Reviews Co-Authors: 20 Co-Authors with 58 Joint Publications 430 Co-Co-Authors all top 5 Co-Authors 35 single-authored 21 Vaugon, Michel 17 Druet, Olivier 8 Robert, Frédéric 5 Thizy, Pierre-Damien 3 Vétois, Jérôme 2 Aubin, Thierry Émilien Flavien 2 Demengel, Françoise 2 Wei, Juncheng 1 Collion, Stephane 1 Djadli, Zindine 1 Felli, Veronica 1 Herzlich, Marc 1 Laurain, Paul 1 Ledoux, Michel 1 Pacard, Frank 1 Pollack, Daniel 1 Saintier, Nicolas 1 Truong, Trong Tuong 1 Veronelli, Giona 1 Wen, Yuliang all top 5 Serials 10 Comptes Rendus de l’Académie des Sciences. Série I 6 Calculus of Variations and Partial Differential Equations 5 Bulletin des Sciences Mathématiques. Deuxième Série 5 Transactions of the American Mathematical Society 4 Advances in Differential Equations 4 Communications in Contemporary Mathematics 3 Journal of Functional Analysis 3 Mathematische Zeitschrift 3 Discrete and Continuous Dynamical Systems 2 Duke Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 Differential and Integral Equations 2 The Journal of Geometric Analysis 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Electronic Research Announcements of the American Mathematical Society 2 Communications on Pure and Applied Analysis 2 Advances in Calculus of Variations 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Journal of Geometry and Physics 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Differential Geometry and its Applications 1 IMRN. International Mathematics Research Notices 1 Journal of Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Research Letters 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 IMRS. International Mathematics Research Surveys 1 Lecture Notes in Mathematics 1 Mathematical Notes (Princeton) 1 Courant Lecture Notes in Mathematics 1 Analysis & PDE 1 Séminaire Laurent Schwartz. EDP et Applications 1 Zurich Lectures in Advanced Mathematics all top 5 Fields 65 Global analysis, analysis on manifolds (58-XX) 46 Partial differential equations (35-XX) 42 Differential geometry (53-XX) 11 Functional analysis (46-XX) 3 Quantum theory (81-XX) 3 Relativity and gravitational theory (83-XX) 2 Optics, electromagnetic theory (78-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 85 Publications have been cited 1,784 times in 1,074 Documents Cited by ▼ Year ▼ Nonlinear analysis on manifolds: Sobolev spaces and inequalities. Zbl 0981.58006 Hebey, Emmanuel 247 2000 Sobolev spaces on Riemannian manifolds. Zbl 0866.58068 Hebey, Emmanuel 218 1996 Paneitz-type operators and applications. Zbl 0998.58009 Djadli, Zindine; Hebey, Emmanuel; Ledoux, Michel 97 2000 Blow-up theory for elliptic PDEs in Riemannian geometry. Zbl 1059.58017 Druet, Olivier; Hebey, Emmanuel; Robert, Frédéric 85 2004 Best constants in the Sobolev imbedding theorem. (Meilleures constantes dans le théorème d’inclusion de Sobolev.) Zbl 0849.53035 Hebey, Emmanuel; Vaugon, Michel 56 1996 The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds. Zbl 0839.53030 Hebey, Emmanuel; Vaugon, Michel 52 1995 The AB program in geometric analysis: Sharp Sobolev inequalities and related problems. Zbl 1023.58009 Druet, Olivier; Hebey, Emmanuel 51 2002 Introduction to nonlinear analysis on manifolds. (Introduction à l’analyse non linéaire sur les variétés.) Zbl 0918.58001 Hebey, Emmanuel 40 1997 Compactness and stability for nonlinear elliptic equations. Zbl 1305.58001 Hebey, Emmanuel 39 2014 The equivariant Yamabe problem. (Le problème de Yamabe équivariant.) Zbl 0786.53024 Hebey, Emmanuela; Vaugon, Michel 37 1993 On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth. Zbl 0955.35031 Demengel, Françoise; Hebey, Emmanuel 36 1998 A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds. Zbl 1218.53042 Hebey, Emmanuel; Pacard, Frank; Pollack, Daniel 36 2008 Effective \(L_p\) pinching for the concircular curvature. Zbl 0902.53031 Hebey, Emmanuel; Vaugon, Michel 35 1996 Coercivity and Struwe’s compactness for Paneitz type operators with constant coefficients. Zbl 0998.58007 Hebey, Emmanuel; Robert, Frédéric 34 2001 Existence and multiplicity of nodal solutions for nonlinear elliptic equations with critical Sobolev growth. Zbl 0798.35052 Hebey, Emmanuel; Vaugon, Michel 34 1994 Sobolev spaces in the presence of symmetries. Zbl 0886.58003 Hebey, Emmanuel; Vaugon, Michel 34 1997 Blow-up examples for second order elliptic PDEs of critical Sobolev growth. Zbl 1061.58017 Druet, Olivier; Hebey, Emmanuel 30 2005 Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium. Zbl 1208.58025 Druet, Olivier; Hebey, Emmanuel 28 2009 Optimal Nash’s inequalities on Riemannian manifolds: The influence of geometry. Zbl 0959.58043 Druet, Olivier; Hebey, Emmanuel; Vaugon, Michel 27 1999 Changements de métriques conformes sur la sphère. Le problème de Nirenberg. (Conformal change of metrics of the sphere. The problem of Nirenberg). Zbl 0713.53023 Hebey, Emmanuel 26 1990 Bounded stability for strongly coupled critical elliptic systems below the geometric threshold of the conformal Laplacian. Zbl 1183.58018 Druet, Olivier; Hebey, Emmanuel; Vétois, Jérôme 26 2010 Stability and instability for Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds. Zbl 1182.83002 Druet, Olivier; Hebey, Emmanuel 24 2009 Multiplicity of solutions for critical Kirchhoff type equations. Zbl 1350.58007 Hebey, Emmanuel 23 2016 From best constants to critical functions. Zbl 0992.58016 Hebey, Emmanuel; Vaugon, Michel 21 2001 Harmonic coordinates, harmonic radius and convergence of Riemannian manifolds. Zbl 0912.53011 Hebey, E.; Herzlich, M. 20 1997 Optimal Sobolev inequalities on complete Riemannian manifolds with Ricci curvature bounded below and positive injectivity radius. Zbl 0863.53031 Hebey, Emmanuel 20 1996 Best constants in the Sobolev embedding theorem and multiplicity for the Nirenberg and Yamabe problems. (Meilleures constantes dans le théorème d’inclusion de Sobolev et multiplicité pour les problèmes de Nirenberg et Yamabe.) Zbl 0764.53029 Hebey, Emmanuel; Vaugon, Michel 18 1992 Schrödinger-Poisson systems in the 3-sphere. Zbl 1267.58019 Hebey, Emmanuel; Wei, Juncheng 18 2013 La méthode d’isométries-concentration dans le cas d’un problème non linéaire sur les variétés compactes à bord avec exposant critique de Sobolev. (The isometry-concentration method in the case of a nonlinear equation with Sobolev critical exponent on compact manifolds with boundary). Zbl 0756.35028 Hebey, Emmanuel 17 1992 Compactness and global estimates for a fourth order equation of critical Sobolev growth arising from conformal geometry. Zbl 1133.58027 Hebey, Emmanuel; Robert, Frédéric; Wen, Yuliang 16 2006 Existence and a priori bounds for electrostatic Klein-Gordon-Maxwell systems in fully inhomogeneous spaces. Zbl 1219.58013 Druet, Olivier; Hebey, Emmanuel 16 2010 Elliptic equations of Yamabe type. Zbl 1081.53034 Druet, Olivier; Hebey, Emmanuel 15 2005 Resonant states for the static Klein-Gordon-Maxwell-Proca system. Zbl 1264.35183 Hebey, Emmanuel; Wei, Juncheng 15 2012 Extremal functions for an optimal Sobolev inequality in the conformal class of the sphere. (Fonctions extrémales pour une inégalité de Sobolev optimale dans la classe conforme de la sphère.) Zbl 0914.53026 Hebey, E. 13 1998 Stationary Kirchhoff systems in closed high dimensional manifolds. Zbl 1337.58014 Hebey, Emmanuel; Thizy, Pierre-Damien 13 2016 Compactness and global estimates for the geometric Paneitz equation in high dimensions. Zbl 1068.58017 Hebey, Emmanuel; Robert, Frédéric 12 2004 Prescribed scalar curvature. (Courbure scalaire préscrite.) Zbl 0762.53021 Aubin, Thierry; Hebey, Emmanuel 12 1991 Compactness and the Palais-Smale property for critical Kirchhoff equations in closed manifolds. Zbl 1333.58009 Hebey, Emmanuel 11 2016 The Lichnerowicz equation in the closed case of the Einstein-Maxwell theory. Zbl 1290.58014 Hebey, Emmanuel; Veronelli, Giona 11 2014 Asymptotic analysis for fourth order Paneitz equations with critical growth. Zbl 1251.58005 Hebey, Emmanuel; Robert, Frédéric 11 2011 Electro-magneto-static study of the nonlinear Schrödinger equation coupled with Bopp-Podolsky electrodynamics in the Proca setting. Zbl 1428.35515 Hebey, Emmanuel 10 2019 Static Klein-Gordon-Maxwell-proca systems in 4-dimensional closed manifolds. Zbl 1256.35154 Hebey, Emmanuel; Truong, Trong Tuong 10 2012 Critical elliptic systems in potential form. Zbl 1142.58015 Hebey, Emmanuel 10 2006 Sharp Sobolev inequalities of second order. Zbl 1032.58008 Hebey, Emmanuel 10 2003 Sharp Sobolev inequalities with lower order remainder terms. Zbl 0968.58012 Druet, Olivier; Hebey, Emmanuel; Vaugon, Michel 9 2001 Asymptotic behavior of positive solutions of quasilinear elliptic equations with critical Sobolev growth. Zbl 0976.35022 Hebey, Emmanuel 9 2000 Courbure scalaire prescrite pour des variétés non conformément difféomorphes à la sphère. (Prescribed scalar curvature for manifolds which are not conformally diffeomorphic to the sphere). Zbl 0771.53018 Hebey, Emmanuel; Vaugon, Michel 9 1993 Sobolev spaces on manifolds. Zbl 1236.58021 Hebey, Emmanuel; Robert, Frédéric 9 2008 A \(C^0\)-theory for the blow-up of second order elliptic equations of critical Sobolev growth. Zbl 1061.58020 Druet, Olivier; Hebey, Emmanuel; Robert, Frédéric 9 2003 Stationary Kirchhoff systems in closed 3-dimensional manifolds. Zbl 1348.35075 Hebey, Emmanuel; Thizy, Pierre-Damien 8 2015 Best constants in Sobolev inequalities for compact manifolds of nonpositive curvature. Zbl 0908.53021 Aubin, Thierry; Druet, Olivier; Hebey, Emmanuel 7 1998 Un théorème de pincement intégral sur la courbure concirculaire en géométrie conforme. (An integral pinching theorem on the concircular curvature in conformal geometry). Zbl 0770.53030 Hebey, Émmanuel; Vaugon, Michel 7 1993 Stationary Kirchhoff equations with powers. Zbl 1387.58025 Hebey, Emmanuel 6 2018 Sharp Sobolev-Poincaré inequalities on compact Riemannian manifolds. Zbl 0992.58017 Hebey, Emmanuel 6 2002 Fourth order equations of critical Sobolev growth. Energy function and solutions of bounded energy in the conformally flat case. Zbl 1086.58009 Felli, Veronica; Hebey, Emmanuel; Robert, Frédéric 6 2005 Sharp Sobolev inequalities for vector valued maps. Zbl 1103.58003 Hebey, Emmanuel 6 2006 Sharp Sobolev inequalities in the presence of a twist. Zbl 1158.58007 Collion, Stephane; Hebey, Emmanuel; Vaugon, Michel 6 2007 Remarque sur le problème de Yamabe. (Remark on the problem of Yamabe). Zbl 0734.58044 Hebey, Emmanuel; Vaugon, Michel 5 1991 Sharp asymptotics and compactness for local low energy solutions of critical elliptic systems in potential form. Zbl 1130.58009 Druet, Olivier; Hebey, Emmanuel 5 2008 Pohozaev type obstructions and solutions of bounded energy for quasilinear elliptic equations with critical Sobolev growth. The conformally flat case. Zbl 1066.35032 Druet, Olivier; Hebey, Emmanuel; Vaugon, Michel 4 2002 Klein-Gordon-Maxwell-Proca type systems in the electro-magneto-static case. Zbl 1424.35156 Hebey, Emmanuel; Thizy, Pierre-Damien 4 2018 Stability of elliptic PDEs with respect to perturbations of the domain. Zbl 1320.35166 Druet, Olivier; Hebey, Emmanuel; Laurain, Paul 4 2013 Asymptotics for some quasilinear elliptic equations. Zbl 0842.35034 Hebey, Emmanuel 4 1996 Stability and perturbations of the domain for the first eigenvalue of the 1-Laplacian. Zbl 1099.58012 Hebey, Emmanuel; Saintier, Nicolas 4 2006 Strong convergence of the Bopp-Podolsky-Schrödinger-Proca system to the Schrödinger-Poisson-Proca system in the electro-magneto-static case. Zbl 1459.35129 Hebey, Emmanuel 4 2020 The Lin-Ni’s conjecture for vector-valued Schrödinger equations in the closed case. Zbl 1200.35065 Hebey, Emmanuel 4 2010 Best constants and optimal Sobolev inequalities on compact Riemannian manifolds. (Meilleures constantes et inégalités de Sobolev optimales sur les variétés Riemanniennes compactes.) Zbl 0971.58021 Hebey, Emmanuel 3 1998 Static Klein-Gordon-Maxwell-Proca systems in 4-dimensional closed manifolds. II. Zbl 1347.35217 Druet, Olivier; Hebey, Emmanuel; Vétois, Jérôme 3 2016 Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case. Zbl 1512.35535 Hebey, Emmanuel 3 2022 Diagonal compactness for critical elliptic systems in potential form. Zbl 1151.35024 Hebey, Emmanuel 3 2007 Scalar curvature and conformal geometry. (Courbure scalaire et géométrie conforme.) Zbl 0785.53028 Hebey, Emmanuel 3 1993 Scalar curvature on \(S^ n\) and first spherical harmonics. Zbl 0816.58039 Hebey, Emmanuel 2 1995 Best constants in the Sobolev imbedding theorem. (Meilleures constantes dans le théorème d’inclusion de Sobolev.) Zbl 0818.46032 Hebey, Emmanuel; Vaugon, Michel 2 1994 Nonlinear elliptic equations of critical Sobolev growth from a dynamical viewpoint. Zbl 1210.35092 Hebey, Emmanuel 2 2004 About a nonlinear theorem of Th. Aubin for the conformal transformation of the scalar curvature on \(S^ n\). (A propos d’un théorème non linéaire de Th. Aubin pour la transformation conforme de la courbure scalaire sur \(S^ n\).) Zbl 0754.53031 Hebey, Emmanuel 2 1992 Solitary waves in critical abelian gauge theories. Zbl 1241.58017 Hebey, Emmanuel 2 2012 Schrödinger-Poisson-Proca systems in EMS regime. Zbl 1486.35179 Hebey, Emmanuel 2 2022 Klein-Gordon-Maxwell-Proca type systems in the electro-magneto-static case: the high dimensional case. Zbl 1419.35027 Hebey, Emmanuel; Thizy, Pierre-Damien 1 2019 Meilleures constantes dans le théorème d’inclusion de Sobolev et multiplicité pour le problème de Nirenberg. (Best constants in the Sobolev imbedding theorem and multiplicity for the Nirenberg problem). Zbl 0709.53028 Hebey, Emmanuel; Vaugon, Michel 1 1990 On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth and perturbation terms. Zbl 1005.35047 Demengel, Françoise; Hebey, Emmanuel 1 1999 Le problème de Yamabe équivariant. (The equivariant Yamabe problem). Zbl 0739.53029 Hebey, Emmanuel; Vaugon, Michel 1 1991 From the Yamabe problem to the equivariant Yamabe problem. Zbl 0880.53035 Hebey, Emmanuel 1 1996 Multiple solutions for critical elliptic systems in potential form. Zbl 1143.58010 Hebey, Emmanuel; Vétois, Jérôme 1 2008 Asymptotics for sharp Sobolev-Poincaré inequalities on compact Riemannian manifolds. Zbl 1044.58031 Druet, Olivier; Hebey, Emmanuel 1 2002 Recent results on stationary critical Kirchhoff systems in closed manifolds. Zbl 1485.58019 Hebey, Emmanuel; Thizy, Pierre-Damien 1 2014 Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case. Zbl 1512.35535 Hebey, Emmanuel 3 2022 Schrödinger-Poisson-Proca systems in EMS regime. Zbl 1486.35179 Hebey, Emmanuel 2 2022 Strong convergence of the Bopp-Podolsky-Schrödinger-Proca system to the Schrödinger-Poisson-Proca system in the electro-magneto-static case. Zbl 1459.35129 Hebey, Emmanuel 4 2020 Electro-magneto-static study of the nonlinear Schrödinger equation coupled with Bopp-Podolsky electrodynamics in the Proca setting. Zbl 1428.35515 Hebey, Emmanuel 10 2019 Klein-Gordon-Maxwell-Proca type systems in the electro-magneto-static case: the high dimensional case. Zbl 1419.35027 Hebey, Emmanuel; Thizy, Pierre-Damien 1 2019 Stationary Kirchhoff equations with powers. Zbl 1387.58025 Hebey, Emmanuel 6 2018 Klein-Gordon-Maxwell-Proca type systems in the electro-magneto-static case. Zbl 1424.35156 Hebey, Emmanuel; Thizy, Pierre-Damien 4 2018 Multiplicity of solutions for critical Kirchhoff type equations. Zbl 1350.58007 Hebey, Emmanuel 23 2016 Stationary Kirchhoff systems in closed high dimensional manifolds. Zbl 1337.58014 Hebey, Emmanuel; Thizy, Pierre-Damien 13 2016 Compactness and the Palais-Smale property for critical Kirchhoff equations in closed manifolds. Zbl 1333.58009 Hebey, Emmanuel 11 2016 Static Klein-Gordon-Maxwell-Proca systems in 4-dimensional closed manifolds. II. Zbl 1347.35217 Druet, Olivier; Hebey, Emmanuel; Vétois, Jérôme 3 2016 Stationary Kirchhoff systems in closed 3-dimensional manifolds. Zbl 1348.35075 Hebey, Emmanuel; Thizy, Pierre-Damien 8 2015 Compactness and stability for nonlinear elliptic equations. Zbl 1305.58001 Hebey, Emmanuel 39 2014 The Lichnerowicz equation in the closed case of the Einstein-Maxwell theory. Zbl 1290.58014 Hebey, Emmanuel; Veronelli, Giona 11 2014 Recent results on stationary critical Kirchhoff systems in closed manifolds. Zbl 1485.58019 Hebey, Emmanuel; Thizy, Pierre-Damien 1 2014 Schrödinger-Poisson systems in the 3-sphere. Zbl 1267.58019 Hebey, Emmanuel; Wei, Juncheng 18 2013 Stability of elliptic PDEs with respect to perturbations of the domain. Zbl 1320.35166 Druet, Olivier; Hebey, Emmanuel; Laurain, Paul 4 2013 Resonant states for the static Klein-Gordon-Maxwell-Proca system. Zbl 1264.35183 Hebey, Emmanuel; Wei, Juncheng 15 2012 Static Klein-Gordon-Maxwell-proca systems in 4-dimensional closed manifolds. Zbl 1256.35154 Hebey, Emmanuel; Truong, Trong Tuong 10 2012 Solitary waves in critical abelian gauge theories. Zbl 1241.58017 Hebey, Emmanuel 2 2012 Asymptotic analysis for fourth order Paneitz equations with critical growth. Zbl 1251.58005 Hebey, Emmanuel; Robert, Frédéric 11 2011 Bounded stability for strongly coupled critical elliptic systems below the geometric threshold of the conformal Laplacian. Zbl 1183.58018 Druet, Olivier; Hebey, Emmanuel; Vétois, Jérôme 26 2010 Existence and a priori bounds for electrostatic Klein-Gordon-Maxwell systems in fully inhomogeneous spaces. Zbl 1219.58013 Druet, Olivier; Hebey, Emmanuel 16 2010 The Lin-Ni’s conjecture for vector-valued Schrödinger equations in the closed case. Zbl 1200.35065 Hebey, Emmanuel 4 2010 Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium. Zbl 1208.58025 Druet, Olivier; Hebey, Emmanuel 28 2009 Stability and instability for Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds. Zbl 1182.83002 Druet, Olivier; Hebey, Emmanuel 24 2009 A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds. Zbl 1218.53042 Hebey, Emmanuel; Pacard, Frank; Pollack, Daniel 36 2008 Sobolev spaces on manifolds. Zbl 1236.58021 Hebey, Emmanuel; Robert, Frédéric 9 2008 Sharp asymptotics and compactness for local low energy solutions of critical elliptic systems in potential form. Zbl 1130.58009 Druet, Olivier; Hebey, Emmanuel 5 2008 Multiple solutions for critical elliptic systems in potential form. Zbl 1143.58010 Hebey, Emmanuel; Vétois, Jérôme 1 2008 Sharp Sobolev inequalities in the presence of a twist. Zbl 1158.58007 Collion, Stephane; Hebey, Emmanuel; Vaugon, Michel 6 2007 Diagonal compactness for critical elliptic systems in potential form. Zbl 1151.35024 Hebey, Emmanuel 3 2007 Compactness and global estimates for a fourth order equation of critical Sobolev growth arising from conformal geometry. Zbl 1133.58027 Hebey, Emmanuel; Robert, Frédéric; Wen, Yuliang 16 2006 Critical elliptic systems in potential form. Zbl 1142.58015 Hebey, Emmanuel 10 2006 Sharp Sobolev inequalities for vector valued maps. Zbl 1103.58003 Hebey, Emmanuel 6 2006 Stability and perturbations of the domain for the first eigenvalue of the 1-Laplacian. Zbl 1099.58012 Hebey, Emmanuel; Saintier, Nicolas 4 2006 Blow-up examples for second order elliptic PDEs of critical Sobolev growth. Zbl 1061.58017 Druet, Olivier; Hebey, Emmanuel 30 2005 Elliptic equations of Yamabe type. Zbl 1081.53034 Druet, Olivier; Hebey, Emmanuel 15 2005 Fourth order equations of critical Sobolev growth. Energy function and solutions of bounded energy in the conformally flat case. Zbl 1086.58009 Felli, Veronica; Hebey, Emmanuel; Robert, Frédéric 6 2005 Blow-up theory for elliptic PDEs in Riemannian geometry. Zbl 1059.58017 Druet, Olivier; Hebey, Emmanuel; Robert, Frédéric 85 2004 Compactness and global estimates for the geometric Paneitz equation in high dimensions. Zbl 1068.58017 Hebey, Emmanuel; Robert, Frédéric 12 2004 Nonlinear elliptic equations of critical Sobolev growth from a dynamical viewpoint. Zbl 1210.35092 Hebey, Emmanuel 2 2004 Sharp Sobolev inequalities of second order. Zbl 1032.58008 Hebey, Emmanuel 10 2003 A \(C^0\)-theory for the blow-up of second order elliptic equations of critical Sobolev growth. Zbl 1061.58020 Druet, Olivier; Hebey, Emmanuel; Robert, Frédéric 9 2003 The AB program in geometric analysis: Sharp Sobolev inequalities and related problems. Zbl 1023.58009 Druet, Olivier; Hebey, Emmanuel 51 2002 Sharp Sobolev-Poincaré inequalities on compact Riemannian manifolds. Zbl 0992.58017 Hebey, Emmanuel 6 2002 Pohozaev type obstructions and solutions of bounded energy for quasilinear elliptic equations with critical Sobolev growth. The conformally flat case. Zbl 1066.35032 Druet, Olivier; Hebey, Emmanuel; Vaugon, Michel 4 2002 Asymptotics for sharp Sobolev-Poincaré inequalities on compact Riemannian manifolds. Zbl 1044.58031 Druet, Olivier; Hebey, Emmanuel 1 2002 Coercivity and Struwe’s compactness for Paneitz type operators with constant coefficients. Zbl 0998.58007 Hebey, Emmanuel; Robert, Frédéric 34 2001 From best constants to critical functions. Zbl 0992.58016 Hebey, Emmanuel; Vaugon, Michel 21 2001 Sharp Sobolev inequalities with lower order remainder terms. Zbl 0968.58012 Druet, Olivier; Hebey, Emmanuel; Vaugon, Michel 9 2001 Nonlinear analysis on manifolds: Sobolev spaces and inequalities. Zbl 0981.58006 Hebey, Emmanuel 247 2000 Paneitz-type operators and applications. Zbl 0998.58009 Djadli, Zindine; Hebey, Emmanuel; Ledoux, Michel 97 2000 Asymptotic behavior of positive solutions of quasilinear elliptic equations with critical Sobolev growth. Zbl 0976.35022 Hebey, Emmanuel 9 2000 Optimal Nash’s inequalities on Riemannian manifolds: The influence of geometry. Zbl 0959.58043 Druet, Olivier; Hebey, Emmanuel; Vaugon, Michel 27 1999 On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth and perturbation terms. Zbl 1005.35047 Demengel, Françoise; Hebey, Emmanuel 1 1999 On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth. Zbl 0955.35031 Demengel, Françoise; Hebey, Emmanuel 36 1998 Extremal functions for an optimal Sobolev inequality in the conformal class of the sphere. (Fonctions extrémales pour une inégalité de Sobolev optimale dans la classe conforme de la sphère.) Zbl 0914.53026 Hebey, E. 13 1998 Best constants in Sobolev inequalities for compact manifolds of nonpositive curvature. Zbl 0908.53021 Aubin, Thierry; Druet, Olivier; Hebey, Emmanuel 7 1998 Best constants and optimal Sobolev inequalities on compact Riemannian manifolds. (Meilleures constantes et inégalités de Sobolev optimales sur les variétés Riemanniennes compactes.) Zbl 0971.58021 Hebey, Emmanuel 3 1998 Introduction to nonlinear analysis on manifolds. (Introduction à l’analyse non linéaire sur les variétés.) Zbl 0918.58001 Hebey, Emmanuel 40 1997 Sobolev spaces in the presence of symmetries. Zbl 0886.58003 Hebey, Emmanuel; Vaugon, Michel 34 1997 Harmonic coordinates, harmonic radius and convergence of Riemannian manifolds. Zbl 0912.53011 Hebey, E.; Herzlich, M. 20 1997 Sobolev spaces on Riemannian manifolds. Zbl 0866.58068 Hebey, Emmanuel 218 1996 Best constants in the Sobolev imbedding theorem. (Meilleures constantes dans le théorème d’inclusion de Sobolev.) Zbl 0849.53035 Hebey, Emmanuel; Vaugon, Michel 56 1996 Effective \(L_p\) pinching for the concircular curvature. Zbl 0902.53031 Hebey, Emmanuel; Vaugon, Michel 35 1996 Optimal Sobolev inequalities on complete Riemannian manifolds with Ricci curvature bounded below and positive injectivity radius. Zbl 0863.53031 Hebey, Emmanuel 20 1996 Asymptotics for some quasilinear elliptic equations. Zbl 0842.35034 Hebey, Emmanuel 4 1996 From the Yamabe problem to the equivariant Yamabe problem. Zbl 0880.53035 Hebey, Emmanuel 1 1996 The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds. Zbl 0839.53030 Hebey, Emmanuel; Vaugon, Michel 52 1995 Scalar curvature on \(S^ n\) and first spherical harmonics. Zbl 0816.58039 Hebey, Emmanuel 2 1995 Existence and multiplicity of nodal solutions for nonlinear elliptic equations with critical Sobolev growth. Zbl 0798.35052 Hebey, Emmanuel; Vaugon, Michel 34 1994 Best constants in the Sobolev imbedding theorem. (Meilleures constantes dans le théorème d’inclusion de Sobolev.) Zbl 0818.46032 Hebey, Emmanuel; Vaugon, Michel 2 1994 The equivariant Yamabe problem. (Le problème de Yamabe équivariant.) Zbl 0786.53024 Hebey, Emmanuela; Vaugon, Michel 37 1993 Courbure scalaire prescrite pour des variétés non conformément difféomorphes à la sphère. (Prescribed scalar curvature for manifolds which are not conformally diffeomorphic to the sphere). Zbl 0771.53018 Hebey, Emmanuel; Vaugon, Michel 9 1993 Un théorème de pincement intégral sur la courbure concirculaire en géométrie conforme. (An integral pinching theorem on the concircular curvature in conformal geometry). Zbl 0770.53030 Hebey, Émmanuel; Vaugon, Michel 7 1993 Scalar curvature and conformal geometry. (Courbure scalaire et géométrie conforme.) Zbl 0785.53028 Hebey, Emmanuel 3 1993 Best constants in the Sobolev embedding theorem and multiplicity for the Nirenberg and Yamabe problems. (Meilleures constantes dans le théorème d’inclusion de Sobolev et multiplicité pour les problèmes de Nirenberg et Yamabe.) Zbl 0764.53029 Hebey, Emmanuel; Vaugon, Michel 18 1992 La méthode d’isométries-concentration dans le cas d’un problème non linéaire sur les variétés compactes à bord avec exposant critique de Sobolev. (The isometry-concentration method in the case of a nonlinear equation with Sobolev critical exponent on compact manifolds with boundary). Zbl 0756.35028 Hebey, Emmanuel 17 1992 About a nonlinear theorem of Th. Aubin for the conformal transformation of the scalar curvature on \(S^ n\). (A propos d’un théorème non linéaire de Th. Aubin pour la transformation conforme de la courbure scalaire sur \(S^ n\).) Zbl 0754.53031 Hebey, Emmanuel 2 1992 Prescribed scalar curvature. (Courbure scalaire préscrite.) Zbl 0762.53021 Aubin, Thierry; Hebey, Emmanuel 12 1991 Remarque sur le problème de Yamabe. (Remark on the problem of Yamabe). Zbl 0734.58044 Hebey, Emmanuel; Vaugon, Michel 5 1991 Le problème de Yamabe équivariant. (The equivariant Yamabe problem). Zbl 0739.53029 Hebey, Emmanuel; Vaugon, Michel 1 1991 Changements de métriques conformes sur la sphère. Le problème de Nirenberg. (Conformal change of metrics of the sphere. The problem of Nirenberg). Zbl 0713.53023 Hebey, Emmanuel 26 1990 Meilleures constantes dans le théorème d’inclusion de Sobolev et multiplicité pour le problème de Nirenberg. (Best constants in the Sobolev imbedding theorem and multiplicity for the Nirenberg problem). Zbl 0709.53028 Hebey, Emmanuel; Vaugon, Michel 1 1990 all cited Publications top 5 cited Publications all top 5 Cited by 1,069 Authors 39 Hebey, Emmanuel 20 Druet, Olivier 20 Robert, Frédéric 19 Vétois, Jérôme 18 Pistoia, Angela 17 Micheletti, Anna Maria 16 Ghimenti, Marco G. 15 Chtioui, Hichem 15 Górka, Przemysław 15 Wei, Juncheng 14 Kristály, Alexandru 13 Premoselli, Bruno 13 Thizy, Pierre-Damien 12 Malchiodi, Andrea 11 Benalili, Mohammed 11 Clapp, Mónica 11 Li, YanYan 11 Montenegro, Marcos 11 Ould Ahmedou, Mohameden 11 Pucci, Patrizia 10 Fu, Haiping 10 Lu, Guozhen 10 Ma, Li 10 Molica Bisci, Giovanni 9 Ben Ayed, Mohamed 9 Cotsiolis, Athanase 9 Labropoulos, Nikos 9 Musso, Monica 9 Saintier, Nicolas 8 Ceccon, Jurandir 8 Nguyễn Văn Hoàng 8 Vaugon, Michel 7 Abdelhedi, Wael 7 Aberqi, Ahmed 7 Aubin, Thierry Émilien Flavien 7 Barbosa, Ezequiel R. 7 El Mehdi, Khalil O. 7 Farkas, Csaba 7 Mazumdar, Saikat 7 Veronelli, Giona 7 Xiong, Jingang 7 Yang, Yunyan 6 Boughazi, Hichem 6 Do Ó, João M. Bezerra 6 Esposito, Pierpaolo 6 Ge, Yuxin 6 Huang, Guangyue 6 Humbert, Emmanuel 6 Kim, Seunghyeok 6 Rădulescu, Vicenţiu D. 6 Reyes, Enrique G. 6 Xia, Changyu 6 Zhu, Meijun 5 Benslimane, Omar 5 Chen, Nanbo 5 Chruściel, Piotr Tadeusz 5 Djadli, Zindine 5 Faraci, Francesca 5 Fernández, Juan Carlos 5 Ghoussoub, Nassif A. 5 Lam, Nguyen 5 Li, Siran 5 Liu, Xiaochun 5 Tahri, Kamel 5 Tintarev, Kyril 5 Varga, Csaba György 5 Xu, Xingwang 5 Zhao, Wei 4 Alghanemi, Azeb 4 Amar, Eric 4 Carron, Gilles 4 Catino, Giovanni 4 Chai, Shugen 4 Fernández Bonder, Julián 4 Gamara, Najoua 4 Jaber, Hassan 4 Jiang, Wenshuai 4 Jin, Tianling 4 Kostrzewa, Tomasz 4 Liu, Zhongyuan 4 Maalaoui, Ali 4 Madani, Farid 4 Maliki, Youssef 4 Muratori, Matteo 4 Nazaret, Bruno 4 Nguyen Thieu Huy 4 Nistor, Victor 4 Qing, Jie 4 Rigane, Afef 4 Santra, Sanjiban 4 Siciliano, Gaetano 4 Skrzypczak, Leszek 4 Viaclovsky, Jeff A. 4 Vu Thi Ngoc Ha 4 Zhang, Qi-Shuhuason 4 Zheng, Youquan 3 Adriano, Levi Rosa 3 Alghamdi, Mohammed Ali 3 Ambrosetti, Antonio 3 Ammann, Bernd Eberhard ...and 969 more Authors all top 5 Cited in 214 Serials 65 Calculus of Variations and Partial Differential Equations 64 Journal of Functional Analysis 57 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 45 The Journal of Geometric Analysis 44 Journal of Differential Equations 35 Journal of Mathematical Analysis and Applications 24 Communications in Contemporary Mathematics 21 Transactions of the American Mathematical Society 20 Annals of Global Analysis and Geometry 18 Advances in Mathematics 16 Communications in Mathematical Physics 16 Journal of Geometry and Physics 16 Proceedings of the American Mathematical Society 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Mathematische Zeitschrift 15 Discrete and Continuous Dynamical Systems 14 Communications in Partial Differential Equations 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Differential Geometry and its Applications 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Bulletin des Sciences Mathématiques 11 Advanced Nonlinear Studies 10 Archiv der Mathematik 10 Manuscripta Mathematica 10 Mathematische Annalen 10 NoDEA. Nonlinear Differential Equations and Applications 9 Potential Analysis 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 9 Complex Variables and Elliptic Equations 8 Journal of Mathematical Physics 8 Pacific Journal of Mathematics 8 Journal of the European Mathematical Society (JEMS) 8 Communications on Pure and Applied Analysis 7 Applicable Analysis 7 Communications on Pure and Applied Mathematics 7 Geometriae Dedicata 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Mathematische Nachrichten 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 6 Boundary Value Problems 6 Advances in Calculus of Variations 6 Arabian Journal of Mathematics 6 Advances in Nonlinear Analysis 5 Archive for Rational Mechanics and Analysis 5 Annales de l’Institut Fourier 5 Journal für die Reine und Angewandte Mathematik 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Annales Henri Poincaré 5 Journal of Hyperbolic Differential Equations 5 Mediterranean Journal of Mathematics 5 Analysis & PDE 4 Classical and Quantum Gravity 4 Journal d’Analyse Mathématique 4 Nonlinearity 4 Duke Mathematical Journal 4 Memoirs of the American Mathematical Society 4 Results in Mathematics 4 Revista Matemática Iberoamericana 4 SIAM Journal on Mathematical Analysis 4 Topological Methods in Nonlinear Analysis 4 Acta Mathematica Sinica. English Series 4 Science China. Mathematics 3 Computers & Mathematics with Applications 3 Mathematical Methods in the Applied Sciences 3 Inventiones Mathematicae 3 Monatshefte für Mathematik 3 Numerische Mathematik 3 Tôhoku Mathematical Journal. Second Series 3 Chinese Annals of Mathematics. Series B 3 Asymptotic Analysis 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Advances in Differential Equations 3 Electronic Research Announcements of the American Mathematical Society 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Journal of Inequalities and Applications 3 Nonlinear Analysis. Real World Applications 3 Journal of Evolution Equations 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Pseudo-Differential Operators and Applications 3 Journal of Spectral Theory 3 Analysis and Mathematical Physics 3 Journal of Function Spaces 3 SN Partial Differential Equations and Applications 2 Letters in Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 Applied Mathematics and Optimization 2 Bulletin of the London Mathematical Society 2 Bulletin de la Société Mathématique de France 2 Journal of Optimization Theory and Applications 2 Rendiconti del Seminario Matematico della Università di Padova 2 Semigroup Forum 2 SIAM Journal on Numerical Analysis 2 Bulletin of the Iranian Mathematical Society 2 Journal of the American Mathematical Society 2 Journal of Scientific Computing ...and 114 more Serials all top 5 Cited in 50 Fields 623 Partial differential equations (35-XX) 460 Global analysis, analysis on manifolds (58-XX) 418 Differential geometry (53-XX) 123 Functional analysis (46-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 54 Real functions (26-XX) 41 Operator theory (47-XX) 41 Relativity and gravitational theory (83-XX) 29 Quantum theory (81-XX) 28 Numerical analysis (65-XX) 19 Probability theory and stochastic processes (60-XX) 18 Several complex variables and analytic spaces (32-XX) 18 Fluid mechanics (76-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Manifolds and cell complexes (57-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Potential theory (31-XX) 12 Topological groups, Lie groups (22-XX) 11 Mechanics of deformable solids (74-XX) 10 Functions of a complex variable (30-XX) 10 Approximations and expansions (41-XX) 10 Abstract harmonic analysis (43-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Mechanics of particles and systems (70-XX) 7 Biology and other natural sciences (92-XX) 6 Convex and discrete geometry (52-XX) 6 Statistics (62-XX) 6 Computer science (68-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Integral equations (45-XX) 5 Systems theory; control (93-XX) 4 Special functions (33-XX) 3 Ordinary differential equations (34-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year