SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS WITH GENERAL WEIGHT IN THE SOBOLEV-HARDY SPACE

被引：0

作者：

Zhang, Yimin ^{[1
]}

Yang, Jun ^{[1
]}

Shen, Yaotian ^{[1
]}

机构：

[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Morse theory; the PSC condition; critical groups; Sobolev-Hardy space; NONTRIVIAL SOLUTIONS; INEQUALITIES; EXISTENCE;

D O I：

10.1090/S0002-9939-2010-10468-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we apply Morse theory to study the existence of nontrivial solutions for nonlinear elliptic equations with general weight and Hardy potential in the Sobolev-Hardy space.

引用

页码：219 / 230

页数：12

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