Existence and multiplicity of positive solutions for elliptic equation with critical weighted Hardy-Sobolev exponents and boundary singularities

被引：1

作者：

Wang, Cong ^{[1
]}

Shang, Yan-Ying ^{[1
]}

机构：

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 74卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Critical weighted Hardy-Sobolev exponents; Ekeland's variational principle; Boundary singularities; Strong maximum principle; TERMS;

D O I：

10.1016/j.camwa.2017.05.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a semilinear elliptic equation involving critical weighted Hardy-Sobolev exponents with boundary singularities. The existence and multiplicity of positive solutions are established. Our method relies upon Ekeland's variational principle and Mountain Pass Lemma. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：701 / 713

页数：13

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