A Note on Solutions for Asymptotically Linear Elliptic Systems

作     者：Lei-ga Zhao 

作者机构：Department of Mathematics Beijing University of Chemical Technology 100029 Beijing China Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China Department of Mathematics Yunnan Normal University Kunming 650092 China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2008年第24卷第3期

页      面：511-522页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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) 

主　　题：Elliptic system ground state solution variational methods concentration-compactness principle 

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.