High-energy positive solutions for a critical growth Dirichlet problem in noncontractible domains
Tài liệu tham khảo
Alves, 2000, On systems of elliptic equations involving subcritical or critical Sobolev exponents, Nonlinear Anal., 42, 771, 10.1016/S0362-546X(99)00121-2
Brezis, 1983, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponent, Comm. Pure Appl. Math., 36, 437, 10.1002/cpa.3160360405
Cerami, 1997, High energy positive solutions for mixed and Neumann elliptic problems with critical nonlinearity, J. Anal. Math., 71, 1, 10.1007/BF02788020
Chabrowski, 2001, On the Neumann problem for an elliptic system of equations involving the critical Sobolev exponent, Colloq. Math., 90, 19, 10.4064/cm90-1-2
Grossi, 1995, A class of solutions for the Neumann problem -Δu+λu=uN+2N-2, Duke Math. J., 79, 309, 10.1215/S0012-7094-95-07908-3
Grossi, 1990, Positive solutions of nonlinear elliptic equations with critical Sobolev exponent and mixed boundary conditions, Proc. R. Soc. Edinburg Sect. A, 116, 23, 10.1017/S030821050003136X
P. Han, The effect of the domain topology on the number of positive solutions of some elliptic systems involving critical Sobolev exponents, preprint.
Struwe, 1984, A global compactness result for elliptic boundary value problems involving limiting nonlinearities, Math. Z., 187, 511, 10.1007/BF01174186
Willem, 1996