MULTIPLE SOLUTIONS FOR SEMILINEAR ELLIPTIC SYSTEMS INVOLVING CRITICAL SOBOLEV EXPONENT

被引：1

作者：

Ishiwata, Michinori ^{[1
]}

机构：

[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2007年 / 20卷 / 11期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The effect of the domain topology on the multiplicity of solutions for a semilinear elliptic system with critical Sobolev exponent is discussed. We show that if the coupling term is sufficiently small, then there exist at least cat Omega positive solutions, where cat denotes the Ljusternik-Schnirelman category.

引用

页码：1237 / 1252

页数：16

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