Existence of solutions for a class of noncooperative elliptic systems

被引：2

作者：

Ke, Xiao-Feng ^{[1
]}

Tang, Chun-Lei ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 370卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Noncooperative elliptic systems; Critical point; Linking; Superlinear growth; Resonance; NONLINEARITIES; EQUATIONS;

D O I：

10.1016/j.jmaa.2010.04.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of a nontrivial solution for a class of noncooperative elliptic systems with nonlinearities of superlinear growth. Moreover, if there is resonance, we also find at least a solution. All results are obtained by the minimax methods in critical point theory. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：18 / 29

页数：12

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