A Note on Solutions for Asymptotically Linear Elliptic Systems

被引：0
作者：
Lei-ga Zhao~(1
机构：
来源：
Acta Mathematicae Applicatae Sinica | 2008年 / 03期
基金：
中国国家自然科学基金;
关键词：
Elliptic system; ground state solution; variational methods; concentration-compactness principle;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper,we are concerned with the elliptic system of {-Δu+v(x)u=g(x,v),x∈R~N, -Δv+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.
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页码：511 / 522
页数：12
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