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This paper is devoted to investigate the existence of the solutions for a class of the noncooperative elliptic system involving critical Sobolev exponents. We show the existence of the negative solution for the problem. We show the existence of the unique negative solution for the system of the linear part of the problem under some conditions, which is also the negative solution of the nonlinear problem. We also consider the eigenvalue problem of the matrix.
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참고문헌 (7)
참고문헌 신청
A. Ambrosetti / 1972 / On the inversion of some di erential mappings with singularities between Banach spaces / Ann. Mat. Pura. Appl 93 : 231 ~ 246
A. M. Micheletti / 2001 / Multiple nontrivial solutions for a oating beam equation via critical point theory / J. Di erential Equations 170 : 157 ~ 179
D. C. de Morais Filho / 1996 / A Variational approach to an Ambrosetti-Prodi type problem for a system of elliptic equations / Nonlinear Analysis, TMA 26 (10) : 1655 ~ 1668
D. G. de Figueiredo / 1980 / Lectures on boundary value problems of the Ambrosetti-Prodi type / 12 Semin ario Brasileiro de An alise 232 (292)
D. G. de Figueiredo / 1983 / On the superlinear Ambrosetti-Prodi Problem / MRC Tech. Rep 2522
A. M. Micheletti / 2001 / Multiple nontrivial solutions for a oating beam equation via critical point theory / J. Di erential Equations 170 : 157 ~ 179
D. C. de Morais Filho / 1996 / A Variational approach to an Ambrosetti-Prodi type problem for a system of elliptic equations / Nonlinear Analysis, TMA 26 (10) : 1655 ~ 1668
D. G. de Figueiredo / 1980 / Lectures on boundary value problems of the Ambrosetti-Prodi type / 12 Semin ario Brasileiro de An alise 232 (292)
D. G. de Figueiredo / 1983 / On the superlinear Ambrosetti-Prodi Problem / MRC Tech. Rep 2522
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