On the quasilinear elliptic problem with a critical Hardy-Sobolev exponent and a Hardy term

被引：7

作者：

Kang, Dongsheng ^{[1
]}

机构：

[1] S Cent Univ Nationalities, Dept Math, Wuhan 430074, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 08期

基金：

中国国家自然科学基金;

关键词：

nontrivial solution; quasilinear problem; Hardy-Sobolev inequality; variational method;

D O I：

10.1016/j.na.2007.08.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, a quasilinear elliptic problem with a critical Sobolev exponent and a Hardy-type term is considered. By means of a variational method, the existence of nontrivial solutions for the problem is obtained. The result depends crucially on the parameters p, t, s, lambda and mu. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2432 / 2444

页数：13

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