摘要
In this paper, we are concerned with the elliptic system of{ -△u+V(x)u=g(x,v), x∈R^N, -△v+V(x)v=f(x,u), x∈R^N, where V(x) is a continuous potential well, f, g are continuous and asymptotically linear as t→∞. The existence of a positive solution and ground state solution are established via variational methods.
In this paper, we are concerned with the elliptic system of{ -△u+V(x)u=g(x,v), x∈R^N, -△v+V(x)v=f(x,u), x∈R^N, where V(x) is a continuous potential well, f, g are continuous and asymptotically linear as t→∞. The existence of a positive solution and ground state solution are established via variational methods.
基金
the National Natural Science Foundation of China(No.1063103)
Science Fund For Creative Research Groups of National Natural Science Foundation of China(No.10721101).