Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains

被引：4

作者：

Guo, Qianqiao ^{[1
]}

Han, Junqiang ^{[1
]}

Niu, Pengcheng ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 15期

基金：

中国国家自然科学基金;

关键词：

Elliptic equation; Sobolev exponent; Multi-polar potentials; Bounded symmetric domain; Positive solution; NONLINEAR SCHRODINGER-EQUATIONS; INVERSE-SQUARE POTENTIALS; CRITICAL SOBOLEV EXPONENT; POSITIVE SOLUTIONS;

D O I：

10.1016/j.na.2012.05.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the elliptic equations with critical Sobolev exponents and multi-polar potentials in bounded symmetric domains and prove the existence and multiplicity of symmetric positive solutions by using the Ekeland variational principle and the Lusternik-Schnirelmann category theory. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：5765 / 5786

页数：22

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