Best constants for supercritical Sobolev inequalities and application to some quasilinear supercritical elliptic equations of scalar curvature type

Bulletin des Sciences Mathematiques

Volumn 124, Issue 2, 2000, Pages 157-173

  Iliopoulos, Dimitris ^a  

^a UNIVERSITY OF PATRAS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034147636     PISSN: 00074497     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0007-4497(99)00118-9     Document Type: Article

References (8)

1. TH. Aubin, Nonlinear analysis on manifolds, Monge-Ampère equations, Grundlehern Math. Wiss. 252, Springer, Berlin, 1982.
2. n, Le problème de Nirenberg, C. R. Acad. Sci. Paris 313 (1991) 607-609.
3. A. Cotsiolis and D. Iliopoulos, Equations elliptiques non linéaires à croissance de Sobolev sur-critique, Bull. Sci. Math. 119 (1995) 419-431.
4. n, Comm. Math. Phys. 107 (1986) 331-335.
5. E. Hebey, Optimal Sobolev inequalities on complete Riemannian manifolds with Ricci curvature bounded below and positive injectivity radius, Amer. J. Math. 118 (1996) 291-300.
6. E. Hebey and M. Vaugon, Meilleures constantes dans le théorème d'inclusion de Sobolev, Ann. Inst. H. Poincaré 13 (1996) 57-93.
7. E. Hebey and M. Vaugon, The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds, Duke Math. J. 79 (1) (1995).
8. E. Hebey, Sobolev spaces on Riemannian manifolds, Lect. Notes in Math., Vol. 1635, Springer, Berlin, 1996.