Infinitely many solutions for cooperative elliptic systems with odd nonlinearity

被引：12
|
作者：
Ma, Shiwang [1 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 5-6期
基金：
中国国家自然科学基金;
关键词：
Cooperative elliptic systems; Odd nonlinearity; Minimax technique; VARIATIONAL APPROACH; MULTIPLE SOLUTIONS; COMPUTATIONS; EQUATIONS;
D O I：
10.1016/j.na.2008.12.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the minimax technique in critical point theory, we establish the existence of infinitely many solutions for a class of cooperative elliptic systems with odd nonlinearities. Our results improve several known results in the literature. In contrast with the existing ones, our results only demand restrictions on the behavior of the nonlinearities at infinity. (C) 2008 Elsevier Ltd. All rights reserved.
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页码：1445 / 1461
页数：17
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