From best constants to critical functions

Mathematische Zeitschrift

Volumn 237, Issue 4, 2001, Pages 737-767

  Hebey, Emmanuel ^a   Vaugon, Michel ^b  

^a UNIVERSITÉ DE CERGY PONTOISE   (France)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035536019     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004889     Document Type: Article

References (9)

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3. Djadli, Z., Druet, O., Extremal functions for optimal Sobolev inequalities on compact manifolds, Preprint of the University of Cergy-Pontoise, 13, 1999
4. Druet, O., The best constants problem in Sobolev inequalities, Mathematische Annalen, 314, 1999, 327-346
5. Druet, O., Robert, F., Asymptotic profile for the subextremals of the sharp Sobolev inequality on the sphere, Preprint. 1999
6. Hebey, E., Fonctions extrémales pour une inégalité de Sobolev optimale dans la classe conforme de la sphère, Journal de Math́matiques Pures et Appliqúes, 77, 1998, 721-733
7. Hebey E., Nonlinear analysis on manifolds: Sobolev spaces and inequalities, CIMS Lecture Notes, Courant Institute of Mathematical Sciences, Vol. 5, 1999
8. Hebey, E., and Vaugon, M., The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds, Duke Mathematical Journal, 79, 1995, 235-279
9. Schoen, R., Conformal deformation of a Riemannian metric to constant scalar curvature, Journal of Differential Geometry, 20, 1984, 479-195