| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 842803 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 10 Pages |
Abstract
In this paper, we show that the following system: equation(0.1)−Δu+V(x)u=g(x,v),−Δv+V(x)v=f(x,u),x∈RN possesses at least one non-trivial solution pair (u,v)(u,v), where f(x,t),g(x,t)f(x,t),g(x,t) are continuous functions on RN×RRN×R and asymptotically linear as t→+∞t→+∞, and V(x)V(x) is allowed to be sign-changing.
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Authors
Haiyang He, Dongxiang Chen,