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1

for complete Riemannian manifolds

Hebey, Emmanuel, Vaugon, Michel

Journal:

Duke Mathematical Journal

Year:

1995

Language:

english

File:

PDF, 81 KB

english, 1995

2

Sharp Sobolev-Poincaré Inequalities on Compact Riemannian Manifolds

Journal:

Transactions of the American Mathematical Society

Year:

2002

Language:

english

File:

PDF, 1.53 MB

english, 2002

3

Optimal Sobolev Inequalities on Complete Riemannian Manifolds with Ricci Curvature Bounded Below and Positive Injectivity Radius

Hebey, Emmanuel

Journal:

American Journal of Mathematics

Year:

1996

Language:

english

File:

PDF, 352 KB

english, 1996

4

Stationary Kirchhoff systems in closed\(3\)-dimensional manifolds

Hebey, Emmanuel, Thizy, Pierre-Damien

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2015

Language:

english

File:

PDF, 452 KB

english, 2015

5

Stability and perturbations of the domain for the first eigenvalue of the 1-Laplacian

Emmanuel Hebey, Nicolas Saintier

Journal:

Archiv der Mathematik

Year:

2006

Language:

english

File:

PDF, 117 KB

english, 2006

6

Sharp asymptotics and compactness for local low energy solutions of critical elliptic systems in potential form

Olivier Druet, Emmanuel Hebey

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2008

Language:

english

File:

PDF, 463 KB

english, 2008

7

Static Klein–Gordon–Maxwell–Proca systems in 4-dimensional closed manifolds

Hebey, Emmanuel, Truong, Trong Tuong

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2012

Language:

english

File:

PDF, 272 KB

english, 2012

8

Optimal Sobolev Inequalities on Complete Riemannian Manifolds with Ricci Curvature Bounded below and Positive Injectivity Radius

Journal:

American Journal of Mathematics

Year:

1996

Language:

english

File:

PDF, 793 KB

english, 1996

9

Klein–Gordon–Maxwell–Proca type systems in the electro-magneto-static case: the high dimensional case

Hebey, Emmanuel, Thizy, Pierre-Damien

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2019

Language:

english

File:

PDF, 543 KB

english, 2019

10

Static Klein–Gordon–Maxwell–Proca systems in 4-dimensional closed manifolds. II

Druet, Olivier, Hebey, Emmanuel, Vétois, Jérôme

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2016

Language:

english

File:

PDF, 430 KB

english, 2016

11

Sharp Sobolev Inequalities in the Presence of a Twist

Stephane Collion, Emmanuel Hebey and Michel Vaugon

Journal:

Transactions of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 690 KB

english, 2007

12

Stationary Kirchhoff equations with powers

Hebey, Emmanuel

Journal:

Advances in Calculus of Variations

Year:

2016

Language:

english

File:

PDF, 755 KB

english, 2016

13

Diagonal Compactness for Critical Elliptic Systems in Potential Form

Hebey, Emmanuel

Journal:

Communications in Partial Differential Equations

Year:

2007

Language:

english

File:

PDF, 376 KB

english, 2007

14

Remarque sur le probléme de Yamabe

Emmanuel Hebey, Michel Vaugon

Journal:

Journal of Functional Analysis

Year:

1991

File:

PDF, 269 KB

1991

15

Sharp Sobolev inequalities of second order

Journal:

Journal of Geometric Analysis

Year:

2003

Language:

english

File:

PDF, 659 KB

english, 2003

16

Meilleures constantes dans le théorème d’inclusion de Sobolev

Hebey, Emmanuel, Vaugon, Michel

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

1996

Language:

french

File:

PDF, 1.89 MB

french, 1996

17

Stationary Kirchhoff systems in closed high dimensional manifolds

Hebey, Emmanuel, Thizy, Pierre-Damien

Journal:

Communications in Contemporary Mathematics

Year:

2016

Language:

english

File:

PDF, 602 KB

english, 2016

18

10.1090/s0002-9947-01-02913-0

Hebey, Emmanuel

Journal:

Transactions of the American Mathematical Society

Year:

2002

Language:

english

File:

PDF, 269 KB

english, 2002

19

Best constants in Sobolev inequalities for compact manifolds of nonpositive curvature

Thierry Aubin, Olivier Druet, Emmanuel Hebey

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1998

File:

PDF, 374 KB

1998

20

Sharp Sobolev Inequalities with Lower Order Remainder Terms

Olivier Druet, Emmanuel Hebey and Michel Vaugon

Journal:

Transactions of the American Mathematical Society

Year:

2001

Language:

english

File:

PDF, 1.62 MB

english, 2001

21

Strong convergence of the BoppâPodolskyâSchrÃ¶dingerâProca system to the SchrÃ¶dingerâPoissonâProca system in the electro-magneto-static case

Hebey, Emmanuel

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2020

File:

PDF, 464 KB

2020

22

Paneitz-type operators and applications

Ledoux, Michel, Hebey, Emmanuel, Djadli, Zindine

Journal:

Duke Mathematical Journal

Year:

2000

Language:

english

File:

PDF, 226 KB

english, 2000

23

Coercivity and Struwe's compactness for Paneitz type operators with constant coefficients

Emmanuel Hebey, Frédéric Robert

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2001

Language:

english

File:

PDF, 247 KB

english, 2001

24

Elliptic equations of Yamabe type

Druet, Olivier, Hebey, Emmanuel

Journal:

International Mathematics Research Surveys

Year:

2005

Language:

english

File:

PDF, 1.08 MB

english, 2005

25

Sobolev spaces in the presence of symmetries

Emmanuel Hebey, Michel Vaugon

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

1997

Language:

english

File:

PDF, 1.27 MB

english, 1997

26

Pohozaev type obstructions and solutions of bounded energy for quasilinear elliptic equations with critical Sobolev growth: The conformally flat case

Olivier Druet, Emmanuel Hebey, Michel Vaugon

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2002

Language:

english

File:

PDF, 148 KB

english, 2002

27

Sharp Sobolev inequalities for vector valued maps

Journal:

Mathematische Zeitschrift

Year:

2006

Language:

english

File:

PDF, 305 KB

english, 2006

28

10.1155/S1073792899000380

Druet, Olivier, Hebey, Emmanuel, Vaugon, Michel

Journal:

International Mathematics Research Notices

Year:

1999

Language:

english

File:

PDF, 285 KB

english, 1999

29

Asymptotic analysis for fourth order Paneitz equations with critical growth

Hebey, Emmanuel, Robert, Frédéric

Journal:

Advances in Calculus of Variations

Year:

2011

Language:

english

File:

PDF, 1.66 MB

english, 2011

30

Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45) () || Appendix A. The Green’s Function on Compact Manifolds

Druet, Olivier, Hebey, Emmanuel, Robert, Frédéric

Year:

2009

Language:

english

File:

PDF, 194 KB

english, 2009

31

Bounded stability for strongly coupled critical elliptic systems below the geometric threshold of the conformal Laplacian

Olivier Druet, Emmanuel Hebey, Jérôme Vétois

Journal:

Journal of Functional Analysis

Year:

2010

Language:

english

File:

PDF, 462 KB

english, 2010

32

Fourth order equations of critical Sobolev growth. Energy function and solutions of bounded energy in the conformally flat case

Veronica Felli, Emmanuel Hebey, Frédéric Robert

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

2005

Language:

english

File:

PDF, 395 KB

english, 2005

33

Stability of elliptic PDEs with respect to perturbations of the domain

Druet, Olivier, Hebey, Emmanuel, Laurain, Paul

Journal:

Journal of Differential Equations

Year:

2013

Language:

english

File:

PDF, 277 KB

english, 2013

34

The Lichnerowicz equation in the closed case of the Einstein-Maxwell theory

Hebey, Emmanuel, Veronelli, Giona

Journal:

Transactions of the American Mathematical Society

Year:

2013

Language:

english

File:

PDF, 267 KB

english, 2013

35

Multiplicity of Solutions for Critical Kirchhoff type Equations

Hebey, Emmanuel

Journal:

Communications in Partial Differential Equations

Year:

2016

Language:

english

File:

PDF, 376 KB

english, 2016

36

Handbook of Global Analysis || Sobolev spaces on manifolds

Hebey, Emmanuel

Year:

2008

Language:

english

File:

PDF, 479 KB

english, 2008

37

From best constants to critical functions

Emmanuel Hebey, Michel Vaugon

Journal:

Mathematische Zeitschrift

Year:

2001

Language:

english

File:

PDF, 245 KB

english, 2001

38

10.1090/s0002-9947-04-03681-5

Druet, Olivier, Hebey, Emmanuel

Journal:

Transactions of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 227 KB

english, 2005

39

Schrödinger–Poisson systems in the 3-sphere

Hebey, Emmanuel, Wei, Juncheng

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2013

Language:

english

File:

PDF, 403 KB

english, 2013

40

Compactness and the Palais–Smale property for critical Kirchhoff equations in closed manifolds

Hebey, Emmanuel

Journal:

Pacific Journal of Mathematics

Year:

2016

Language:

english

File:

PDF, 277 KB

english, 2016

41

Courbure scalaire et géométrie conforme

Journal:

Journal of Geometry and Physics

Year:

1993

Language:

french

File:

PDF, 2.15 MB

french, 1993

42

A Variational Analysis of Einstein–Scalar Field Lichnerowicz Equations on Compact Riemannian Manifolds

Emmanuel Hebey, Frank Pacard, Daniel Pollack

Journal:

Communications in Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 261 KB

english, 2008

43

Stability and instability for Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds

Olivier Druet, Emmanuel Hebey

Journal:

Mathematische Zeitschrift

Year:

2009

Language:

english

File:

PDF, 433 KB

english, 2009

44

Klein–Gordon–Maxwell–Proca type systems in the electro-magneto-static case: the high dimensional case

Hebey, Emmanuel, Thizy, Pierre-Damien

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2019

File:

PDF, 543 KB

2019

45

COMPACTNESS AND GLOBAL ESTIMATES FOR A FOURTH ORDER EQUATION OF CRITICAL SOBOLEV GROWTH ARISING FROM CONFORMAL GEOMETRY

HEBEY, EMMANUEL, ROBERT, FRÉDÉRIC, WEN, YULIANG

Journal:

Communications in Contemporary Mathematics

Year:

2006

Language:

english

File:

PDF, 639 KB

english, 2006

46

EXISTENCE AND A PRIORI BOUNDS FOR ELECTROSTATIC KLEIN–GORDON–MAXWELL SYSTEMS IN FULLY INHOMOGENEOUS SPACES

DRUET, OLIVIER, HEBEY, EMMANUEL

Journal:

Communications in Contemporary Mathematics

Year:

2010

Language:

english

File:

PDF, 471 KB

english, 2010

47

Blow-up Examples for Second Order Elliptic PDEs of Critical Sobolev Growth

Olivier Druet and Emmanuel Hebey

Journal:

Transactions of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 980 KB

english, 2005

48

[Lecture Notes in Mathematics] Sobolev Spaces on Riemannian Manifolds Volume 1635 || The best constants problems

Hebey, Emmanuel

Year:

1996

Language:

english

File:

PDF, 1.28 MB

english, 1996

49

EffectiveLppinching for the concircular curvature

Emmanuel Hebey, Michel Vaugon

Journal:

Journal of Geometric Analysis

Year:

1996

Language:

english

File:

PDF, 838 KB

english, 1996

50

Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45) () || Chapter 1. Background Material

Druet, Olivier, Hebey, Emmanuel, Robert, Frédéric

Year:

2009

Language:

english

File:

PDF, 260 KB

english, 2009

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