Multiplicity of solutions for a noncooperative p-Laplacian elliptic system in RN

被引：37

作者：

Huang, DW ^{[1
]}

Li, YQ ^{[1
]}

机构：

[1] Fujian Normal Univ, Dept Math, Fujian 350007, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年 / 215卷 / 01期

关键词：

strongly indefinite functional with symmetries; limit index theory; multiple radial and nortradial solutions; p-Laplacian; Principle of Symmetric Criticality;

D O I：

10.1016/j.jde.2004.09.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a system of p-Laplacian elliptic equations Applying Principle of Symmetric Criticality and a Limit Index Theory, under some assumptions on F-u, F-v, we can obtain the existence of infinitely many radial solutions and nonradial solutions for the above system, which extends some results in Li (Nonlinear Anal. TMA 25 (1995) 1371). (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：206 / 223

页数：18

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