Asymptotically linear Schrodinger equations with sign-changing potential

被引：0
|
作者：
He, Haiyang [1 ]
Chen, Dongxiang [2 ]
机构：
[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China
[2] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Jiangxi, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 01期
关键词：
Schrodinger equations; Sign-changing potential; Asymptotically linear; Linking structure; ELLIPTIC PROBLEMS;
D O I：
10.1016/j.na.2010.02.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show that the following system: -Delta u + V(x)u = g(x, v), -Delta v + V(x)v = f(x, u), x is an element of R-N (0.1) possesses at least one non-trivial solution pair (u, v), where f(x,t), g(x, t) are continuous functions on R-N x R and asymptotically linear as t -> +infinity, and V(x) is allowed to be sign-changing. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：66 / 75
页数：10
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