Positive solutions for Neumann elliptic problems involving critical Hardy-Sobolev exponent with boundary singularities

被引：15

作者：

Shang, Yan-Ying ^{[1
]}

Tang, Chun-Lei ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Critical Hardy-Sobolev exponent; Neumann boundary condition; Boundary singularities; Positive solution; SIGN-CHANGING SOLUTIONS; EQUATIONS; TERMS;

D O I：

10.1016/j.na.2008.02.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the existence of positive solution for some semilinear elliptic equations with Neumann boundary condition involving a critical Hardy-Sobolev exponent and Hardy terms with boundary singularities. Using mountain pass lemma without (PS) condition and the strong maximum principle, we get the existence of a positive solution. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1302 / 1320

页数：19

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