Existence and multiplicity of positive solutions for a class of semilinear elliptic equations involving Hardy term and Hardy-Sobolev critical exponents

被引：15

作者：

Ding, Ling ^{[1
,2
]}

Tang, Chun-Lei ^{[1
]}

机构：

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

[2] Xiangfan Univ, Dept Math, Hubei 441053, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 339卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Hardy-Sobolev critical exponents; Hardy term; (PS)c condition; Ekeland's variational principle; positive solution; strong maximum principle;

D O I：

10.1016/j.jmaa.2007.07.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence and multiplicity of positive solutions are studied for a class of semilinear elliptic equations with Hardy term, Hardy-Sobolev critical exponents and sublinear nonlinearity by variational methods and some analysis techniques. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：1073 / 1083

页数：11

共 50 条

[31] Existence and multiplicity of positive solutions of semilinear elliptic equations in unbounded domains
Hu, Kai
Tang, Chun-Lei
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (03) : 609 - 629
[32] Multiple positive solutions for quasilinear elliptic problems with combined critical Sobolev–Hardy terms
Yuanyuan Li
Boundary Value Problems, 2019
[33] The existence of positive solutions for a class of indefinite weight semilinear elliptic problems with critical Sobolev exponent
Ko, B
TAIWANESE JOURNAL OF MATHEMATICS, 2004, 8 (01): : 71 - 83
[34] Existence for positive solutions to quasi-linear equation involving critical Sobolev-Hardy exponent
Kang, DS
ACTA MATHEMATICA SCIENTIA, 2004, 24 (04) : 639 - 644
[35] EXISTENCE OF POSITIVE SOLUTIONS TO QUASI-LINEAR EQUATION INVOLVING CRITICAL SOBOLEV-HARDY EXPONENT
康东升
ActaMathematicaScientia, 2004, (04) : 639 - 644
[36] Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev–Hardy critical exponent
Hongsen Fan
Zhiying Deng
Boundary Value Problems, 2021
[37] On the existence of positive solutions to a certain class of semilinear elliptic equations
Ikoma, Norihisa
PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021, 2 (02):
[38] Existence of two positive solutions for a class of semilinear elliptic equations with singularity and critical exponent
Liao, Jia-Feng
Liu, Jiu
Zhang, Peng
Tang, Chun-Lei
ANNALES POLONICI MATHEMATICI, 2016, 116 (03) : 273 - 292
[39] Positive Solutions for Elliptic Problems Involving Hardy-Sobolev-Maz'ya Terms
Jiang, Rui-Ting
Tang, Chun-Lei
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (05) : 2333 - 2359
[40] Existence of positive solutions for a fractional elliptic problems with the Hardy-Sobolev-Maz'ya potential and critical nonlinearities
Cai, Zhipeng
Chu, Changmu
Lei, Chunyu
BOUNDARY VALUE PROBLEMS, 2017,

← 1 2 3 4 5 →