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摘要
In this paper, by using the idea of category, we investigate how the shape of the graph of h(x) affects the number of positive solutions to the following weighted nonlinear elliptic system: where 0 a Omega is a smooth bounded domain in a"e (N) (N a (c) 3/4 3), lambda, sigma > 0 are parameters, ; h(x), K (1)(x) and K (2)(x) are positive continuous functions in , 1 a (c) 1/2 q < 2, alpha, beta > 1 and alpha + beta = 2*(a, b) , is critical Sobolev-Hardy exponent). We prove that the system has at least k nontrivial nonnegative solutions when the pair of the parameters (lambda, sigma) belongs to a certain subset of a R-2.
- 出版日期2015-1
- 单位长春大学
