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Multiple solutions for a superlinear and periodic elliptic system on \mathbbR^N{\mathbb{R}^N}

Authors:

Fukun Zhao Leiga Zhao and Yanheng Ding

Abstract:

This paper is concerned with the following periodic Hamiltonian elliptic system

{l-Du+V(x)u=g(x,v) in \mathbbR^N,-Dv+V(x)v=f(x,u) in \mathbbR^N,u(x)? 0 and v(x)?0 as \|x\|?￥,\left \{\begin{array}{l}-\Delta u+V(x)u=g(x,v)\, {\rm in }\,\mathbb{R}^N,\\-\Delta v+V(x)v=f(x,u)\, {\rm in }\, \mathbb{R}^N,\\ u(x)\to 0\, {\rm and}\,v(x)\to0\, {\rm as }\,\|x\|\to\infty,\end{array}\right.

Keywords:
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