References
- Ambrosetti , A. and Rabinowitz , P. 1973 . Dual variationnal methods in critical point theory and applications . Journal of Functional Analysis , 14 : 349 – 381 .
- Aubin , T. 1976 . Problèmes isopérimétriques et espaces de Sobolev . Journal of Differential Geometry , 11 : 573 – 598 .
- Bahri , A. and Coron , J.M. 1988 . On a nonlinear elliptic equation involving the critical Sobolev exponent: the effect of the topology of the domain . Comm. Pure and Appl. Math , 41 : 253 – 294 .
- Brézis , H. 1987 . “ Nonlinear elliptic equations involving the critical Sobolev exponent ” . In Survey and perspectives. Directions in partial differential equations. Proceedings of a symposium , 17 – 36 . New-York : Academic Press . [1985, Madison], Publications of the Mathematics Research Center, 54
- Brézis , H. and Nirenberg , L. 1983 . Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents . Comm. Pure Appl. Math , 36 : 437 – 477 .
- Demengel F. Hebey E. On some nonlinear equations involving the p-laplacian with critical Sobolev growth. To appear in Advances in Differential Equations
- Djadli Z. Equations de Yamabe perturbées Preprint
- Evans , L.C. . Weak convergence methods for nonlinear partial differential equations . Con ference Board of the Mathematical Sciences . 1990 . 74
- Granlund , S. , Lindqvist , P. and Martio , O. 1983 . Conformally invariant variational integrals . Transactions of the American Mathematical Society , 277 : 43 – 73 .
- Guedda , M. and Veron , L. 1988 . Local and global properties of solutions of quasilinear elliptic equations . Journal of Differential Equations , 76 : 159 – 189 .
- Guedda , M. and Veron , L. 1989 . Quasilinear elliptic equations involving critical Sobolev expo nents . Nonlinear Analysis, Theory, Methods and Applications , 13 : 879 – 902 .
- Hebey , E. 1992 . La méthode d'isométries-concentration dans le cas d'un problème non linéaire sur les variétés compactes à bord avec exposant critique de Sobolev . Bulletin des Sciences Mathématiques , 116 : 35 – 51 .
- Hebey , E. 1996 . Asymptotics for some quasilinear elliptic equations . Differential and Integral Equations , 9 : 71 – 88 .
- Hebey , E. 1996 . “ Sobolev spaces on Riemannian manifolds ” . In Lecture Notes in Mathematics, Research Monograph , Vol. 1635 , Springer-Verlag .
- Hebey , E. and Vaugon , M. 1994 . Existence and multiplicity of nodal solutions for nonlinear elliptic equations with critical Sobolev growth . Journal of Functional Analysis , 119 : 298 – 318 .
- Lewis , J.L. 1983 . Regularity of the derivatives of solutions to certain degenerate elliptic equa tions . Indiana University Mathematics Journal , 32 : 849 – 858 .
- Lions J.L. Equations aux dérivées partielles et calcul des variations 1967 Cours del'Institut Henri Poincaré
- Lions , P.L. 1985 . The concentration compactness principle in the calculus of variations I, II . Revista Mathematica Iberoamericana , 1 : 145 – 201 . 45-121
- Murat , F. 1978 . Compacité par compensation . Ann. Scuola Norm. Sup. Pisa, Cl. Sci , 5 ( 4 ) : 485 – 507 .
- Talenti , G. 1976 . Best constants in Sobolev inequality . Ann. di Matem. Pura ed Appl , 110 ( 4 ) : 353 – 372 .
- Tolksdorf , P. 1983 . On the Dirichlet problem for quasilinear equations in domains with conical boundary points . Comm, in Partial Differential Equations , 8 ( 4 ) : 773 – 817 .
- Tolksdorf , P. 1984 . Regularity for a more general class of quasilinear elliptic equations . Jour nal of Differential Equations , 51 ( 4 ) : 126 – 150 .
- Vazquez , J.L. 1984 . A strong maximum principle for some quasilinear elliptic equations . Appl. Math. Optim , 12 ( 4 ) : 191 – 202 .
- Veron , L. 1991 . Some existence and uniqueness results for solution of some quasilinear elliptic equations on compact Riemannian manifolds , Vol. 62 , Budapest : Mcgraw Hill . Colloquia Mathematica Societatis Janos Bolyai,Differential Equations