Olivier DRUET
Chargé de recherche au CNRS. 

Poste : UMPA, Ecole Normale Supérieure de Lyon.
 

Coordonnées :

   Unité de Mathématiques Pures et Appliquées
   Ecole Normale Supérieure de Lyon
   46, allée d'Italie
   69364 Lyon Cedex 7
   France

  Téléphone : 04-72-72-83-90.

  Adresse électronique : olivier.druet@ens-lyon.fr
 
 
 

Thèmes de recherche : 

  Analyse non-linéaire sur les variétés, 
  Equations aux dérivées partielles, 
  Géométrie riemannienne. 
 

C.V. (english, français)



 photo

 

 Articles et livres parus :

31. O. Druet, La notion de stabilité pour des équations aux dérivées partielles elliptiques,
ENSAIOS Matematicos, 19, 2010, 1-100.

30. O. Druet, J. Vétois et E. Hebey, Bounded stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium,
Journal of Functional Analysis, 258, 2010, 999-1059.

29. O. Druet et P. Laurain, Stability of the Pohozaev obstruction in dimension $3$,
Journal of the E.M.S., 12, 5, 2010, 1117-1149.

28. O. Druet et E. Hebey, Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium,
Analysis and PDE, 2, 2009, 305-359.

27. O. Druet et E. Hebey, Stability and instability for Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds,
Math. Zeitschrift, 263, 2009, 33-67.

26. O. Druet, Asymptotic expansion of the Faber-Krahn profile of a compact Riemannian manifold,
Compte-rendus mathématiques, 346, 21-22, 2008, 1163-1167.

25. O. Druet, The critical Lazer-McKenna conjecture in low dimensions,
Journal of Differential Equations, 245, 8, 2008, 2199-2242.

24. O. Druet et E. Hebey, Sharp asymptotics and compactness for local low energy solutions of critical elliptic systems in potential form,
Calculus of Variations and PDE's, 31, 2, 2008, 205-230.

23. O. Druet, Multibumps analysis in dimension 2 - Quantification of blow up levels,
Duke Math. Journal, 132, 2, 2006, 217-269.

22. O. Druet et F. Robert, Bubbling phenomena for fourth-order four-dimensional PDEs with exponential growth,
Proc. A.M.S., 134, 3, 2005, 897-908.

21. O. Druet et E. Hebey, Elliptic equations of Yamabe type,
I.M.R.S., 1, 2005.

20. O. Druet et E. Hebey, Blow-up examples for second order elliptic PDEs of critical Sobolev growth,
Transactions of the American Mathematical Society, 357, 5, 2005, 1915-1929.

19. O. Druet, Compactness for the Yamabe equation in low dimensions,
International Mathematics Research Notices, 23, 2004, 1143-1191.

18. O. Druet, E. Hebey et F. Robert, Blow-up theory for elliptic PDEs in Riemannian geometry,
Mathematical Notes, Princeton University Press, 45, 2004.

17. Adimurthi et O. Druet, Blow up analysis in dimension 2 and a sharp form of Trudinger-Moser inequality,
Communications in Partial Differential Equations, 29, 1-2, 2004, 295-322.

16. O. Druet, From one bubble to several bubbles : the low-dimensional case,
Journal of Differential Geometry, 63, 2003, 399-473.

15. O. Druet et E. Hebey, Asymptotics for sharp Sobolev-Poincar\'e inequalities on compact Riemannian manifolds,
Advances in Differential Equations, 7, 12, 2002, 1409-1478.

14. O. Druet, Elliptic equations with critical Sobolev exponent in dimension 3,
Annales de l'IHP, Analyse non-linéaire, 19, 2, 2002, 125-142.

13. O. Druet, Optimal Sobolev inequalities and extremal functions. The three-dimensional case,
Indiana University Mathematics Journal, 51, 1, 2002, 69-88.

12. O. Druet, Sharp local isoperimetric inequalities involving the scalar curvature,
Proceedings of the American Mathematical Society, 130, 8, 2002, 2351-2361.

11. O. Druet, E. Hebey et M. Vaugon, Pohozaev type obstructions and solutions of bounded energy
for quasilinear elliptic equations with critical Sobolev growth. The conformally flat case,
Nonlinear Analysis, Theory, Methods and Applications, 51, 2002, 79-94.

10. O. Druet, Isoperimetric inequalities on compact manifolds,
Geometriae Dedicata, 90, 2002, 217-236.

9. O. Druet et E. Hebey, The AB program in geometric analysis. Sharp Sobolev inequalities and related problems,
Memoirs of the American Mathematical Society, MEMO/160/761, 2002.

8. O. Druet et F. Robert, Asymptotic profile for the sub-extremals of the sharp Sobolev inequality on the sphere,
Communications in Partial Differential Equations, 25, 5-6, 2001, 743-778.

7. Z. Djadli et O. Druet, Extremal functions for optimal Sobolev inequalities on compact manifolds,
Calculus of Variations and PDE's, 12, 2001, 59-84.

6. O. Druet, E. Hebey et M. Vaugon, Sharp Sobolev inequalities with lower order remainder terms,
Transactions of the American Mathematical Society, 353, 2001, 269-289.

5. O. Druet, Generalized scalar curvature type equations on compact Riemannian manifolds,
Proceedings of the Royal Society of Edinburgh, 130A, 2000, 767-788.

4. O. Druet, E. Hebey et M. Vaugon, Optimal Nash's inequalities on Riemannian manifolds : the influence of geometry,
International Mathematics Research Notices, 14, 1999, 735-779.

3. O. Druet, The best constants problem in Sobolev inequalities,
Mathematische Annalen, 314, 1999, 327-346.

2. T. Aubin, O. Druet et E. Hebey, Best constants in Sobolev inequalities for compact manifolds of nonpositive curvature,
Comptes Rendus de l'Acad\'emie des Sciences de Paris, 326, 1998, 1117-1121.

1. O. Druet, Optimal Sobolev inequalities of arbitrary order on compact Riemannian manifolds,
 Journal of Functional Analysis, 159, 217-242, 1998.


 

Dernière mise à jour : juin 2011.