Multiplicity of solutions for the noncooperative p(x)-Laplacian operator elliptic system involving the critical growth

被引：9

作者：

Liang, Sihua ^{[1
]}

Shi, Shaoyun ^{[1
,2
,3
]}

机构：

[1] Jilin Univ, Coll Math, Changchun 130012, Peoples R China

[2] Changchun Normal Univ, Coll Math, Changchun 130032, Peoples R China

[3] Jilin Univ, Key Lab Symbol Computat & Knowledge Engn, Minist Educ, Changchun 130012, Peoples R China

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2012年 / 18卷 / 03期

关键词：

p(x)-Laplacian; generalized Lebesgue-Sobolev spaces; limit index; critical growth; concentration-compactness principle; FUNCTIONALS; SPACES; EXISTENCE; EQUATIONS;

D O I：

10.1007/s10883-012-9149-0

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study the multiplicity of solutions for a class of noncooperative p(x)-Laplacian operator elliptic system. Under suitable assumptions, we obtain a sequence of radially symmetric solutions by using the Limit Index Theory due to Li [4].

引用

页码：379 / 396

页数：18

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