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Author ID: hebey.emmanuel Recent zbMATH articles by "Hebey, Emmanuel"
Published as: Hebey, Emmanuel; Hebey, E.; Hebey, Emmanuela; Hebey, Émmanuel
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

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

Publications by Year

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
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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
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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
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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