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摘要
Consider the N-coupled nonlinear elliptic system
(P) {-Delta U-j + U-j = mu U-j(3) + beta U-j Sigma(k not equal j) U-k(2) in Omega, U-j > 0 in Omega, U-j = 0 on partial derivative Omega, j = 1, ... , N.
where Omega is a smooth and bounded (or unbounded if Omega is radially symmetric) domain in R-n, n <= 3. By using a Z(N) index theory, we prove the existence of multiple solutions of (P) and show the dependence of multiplicity results on the coupling constant beta.
- 出版日期2011-6
