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This paper is devoted to investigate the multiple solutions for a class of the cooperative elliptic system involving subcritical Sobolev exponents on the bounded domain with smooth boundary. We first show the uniqueness and the negativity of the solution for the linear system of the problem via the direct calculation. We next use the variational method and the mountain pass theorem in the critical point theory.
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참고문헌 (5)
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
C. O. Alves / 2000 / On systems of equations involving subcritical or critical Sobolev exponents / Nonlinear Analysis, Theory, Meth. and Appl 42 : 771 ~ 787
D. G. de Figueiredo / 1980 / Lectures on boundary value problems of the Ambrosetti-Prodi type / 12 Semin ario Brasileiro de An alise 232 (292)
K. C. Chang / 2002 / Ambrosetti-Prodi type results in elliptic systems / Nonlinear Anal-ysis TMA 51 : 553 ~ 566
Rabinowitz, P. H. / 1986 / Minimax methods in critical point theory with applications to di erential equations / CBMS. Regional conf. Ser. Math 65
C. O. Alves / 2000 / On systems of equations involving subcritical or critical Sobolev exponents / Nonlinear Analysis, Theory, Meth. and Appl 42 : 771 ~ 787
D. G. de Figueiredo / 1980 / Lectures on boundary value problems of the Ambrosetti-Prodi type / 12 Semin ario Brasileiro de An alise 232 (292)
K. C. Chang / 2002 / Ambrosetti-Prodi type results in elliptic systems / Nonlinear Anal-ysis TMA 51 : 553 ~ 566
Rabinowitz, P. H. / 1986 / Minimax methods in critical point theory with applications to di erential equations / CBMS. Regional conf. Ser. Math 65
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