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
收藏
页码：18 / 29
页数：12
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