Géométrie Riemannienne
et analyse géométrique
Analyse non linéaire sur les
variétés
Equations aux dérivées partielles
Adresse:
Email:
hebey(at)u-cergy.fr , or
Emmanuel.Hebey(at)math.u-cergy.fr
Curriculum Vitae
Publications
Curriculum Vitae et Liste de Publications.
Fichier téléchargeable: pdf
| Emmanuel Hebey. Professor
of mathematics. Research interests in Partial Differential Equations and the Calculus of Variations, Geometric Analysis, and Differential Geometry. Born on april 10, 1964 at Paris, France. Studies at the University of Paris 6. PhD in 1990 and «habilitation à diriger des recherches» in 1991. Associate professor at the University of Paris 6 from 1990 to 1993. Full professor at the University of Cergy-Pontoise since 1993. Awarded the «Marie Guido Triossi» price of the French Academy of Sciences in 1995. Director of the math department (1994-1997). Director of the math research lab (1997-2004). Member of the scientific board of the university (2008-2016). Editorial boards: International Journal of Differential Equations, International Mathematics Research Notices (principal editor), Potential Analysis. PHD Students: Marie Dellinger, Zindine Djadli, Olivier Druet, Antoinette Jourdain, Benoit Pausader, Frédéric Robert, Nicolas Saintier, Jérôme Vétois. |
| Monographies de
recherche: (Some research monographs) [1] Nonlinear analysis on manifolds: Sobolev spaces and inequalities, CIMS Lecture Notes, Courant Institute of Mathematical Sciences, New York University, Volume 5, 1999. Seconde édition publiée conjointement avec l'American Mathematical Society, 290 pages, AMS/CIMS Lecture Notes , Volume 5, 2000. Version traduite en russe, Editions Tamara Rozhkovskaya, 2008. [2] The AB program in Geometric Analysis. Sharp Sobolev inequalities and related problems, Memoirs of the American Mathematical Society , avec O.Druet, 98 pages, MEMO/160/761, 2002. [3] Blow-up theory for elliptic PDEs in Riemannian geometry, Mathematical Notes , Princeton University Press, avec O.Druet et F.Robert, 218 pages, Volume 45, 2004. [4] Elliptic equations of Yamabe type, avec O.Druet, International Mathematics Research Surveys, IMRS, Issue 1, 1-113, 2005. |
| Textes
en libre service: (Unpublished texts with free access) [1] Sharp Sobolev-Poincaré inequalities on compact Riemannian manifolds, NotesSharpSP.pdf , 121 pages, 2002. Contains unpublished results. [2] Variational methods and elliptic equations in Riemannian geometry, Notes from lectures given at ICTP, NotesICTP.pdf , 63 pages, 2003. [3] Manifolds which are close to space forms and the Bemelmans, Min-Oo and Ruh smoothing effect of the Ricci flow, NotesSF.pdf , 5 pages, 2002. Unpublished results. [4] An introduction to fourth order nonlinear wave equations, avec B.Pausader, FourthOrderWaves.pdf , 48 pages, 2008. Contains unpublished results. [5] Existence, stability and instability for Einstein-scalar field Lichnerowicz equations, EinLich.pdf, Slides, Contains unpublished results, 46 pages, 2008/2009. [6] Super critical energy scale invariant equations in critical spaces, SuperCrit.pdf, 6 pages, 2010. Rewriting of a known result. |
| Quelques articles
récents: (Some recent research papers) [1] A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds, avec F.Pacard et D.Pollack, Communications in Mathematical Physics, 278, 117-132, 2008. [2] Stability and instability for Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds, avec O.Druet, Mathematische Zeitschrift, 263, 33-67, 2009. [3] Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium, avec O. Druet, Analysis & PDE, 2, 305–359, 2009. [4] Bounded stability for strongly coupled critical elliptic systems below the geometric threshold of the conformal laplacian, avec O. Druet et J.Vétois, Journal of Functional Analysis, 258, 999-059, 2010. [5] The Lin-Ni's conjecture for vector valued Schrödinger equations in the closed case, Communications in Pure and Applied Analysis, 9, 955 – 962, 2010. [6] Existence and a priori bounds for Klein-Gordon-Maxwell systems in fully inhomogeneous spaces, avec O. Druet, Communications in Contemporary Mathematics, 12, 831-869, 2010. [7] Asymptotic analysis for fourth order Paneitz equations with critical growth, avec F.Robert, Advances in the Calculus of Variations, 3, 229-276, 2011. [8] Static Klein-Gordon-Maxwell-Proca systems in 4-dimensional closed manifolds, avec T.T.Truong, Journal für di reine und angewandte Mathematik (Crelle's journal), 667, 221-248, 2012. [9] Solitary waves in critical Abelian gauge theories, Discrete and Continuous Dynamical Systems - Series A, 32, 1747 - 1761, 2012. [10] The Lichnerowicz equation in the closed case of the Einstein-Maxwell theory, avec G.Veronelli, Transactions of the American Mathematical Society, 15 pages, à paraître. [11] Schrödinger-Poisson systems in the 3-sphere, avec J.Wei, Calculus of Variations and Partial Differential Equations, 33 pages, à paraître. [12] Resonant states for the static Klein-Gordon-Maxwell-Proca system, avec J.Wei, Mathematical Research Letters, 14 pages, à paraître. |
Des Liens:
Séminaire Géométrie, EDP et Physique Mathématique
Arxiv
UCDavis
L'université
de Cergy-Pontoise
Le
laboratoire
d'analyse, géométrie et modélisation
La
cellule
Math Doc
La
Société
Mathématique de France
L'American Mathematical
Society
L'European
Mathematical Society
Le serveur
mathworld
Mise à jour: septembre 2012