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

[41] Existence of positive solutions for a fractional elliptic problems with the Hardy-Sobolev-Maz’ya potential and critical nonlinearities
Zhipeng Cai
Changmu Chu
Chunyu Lei
Boundary Value Problems, 2017
[42] The existence of solutions for quasilinear elliptic problems with combined critical Sobolev-Hardy terms
Li, Yuanyuan
Guo, Qianqiao
Niu, Pengcheng
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 388 (01) : 525 - 538
[43] EXISTENCE OF SOLUTIONS FOR A FRACTIONAL ELLIPTIC PROBLEM WITH CRITICAL SOBOLEV-HARDY NONLINEARITIES IN RN
Jin, Lingyu
Fang, Shaomei
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[44] Multiple positive solutions for quasilinear elliptic problems with combined critical Sobolev-Hardy terms
Li, Yuanyuan
BOUNDARY VALUE PROBLEMS, 2019, 2019 (01)
[45] EXISTENCE OF MULTIPLE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC SYSTEM WITH CRITICAL SOBOLEV-HARDY EXPONENTS AND CONCAVE-CONVEX TERMS
李圆晓
高文杰
ActaMathematicaScientia, 2013, 33 (01) : 107 - 121
[46] EXISTENCE OF MULTIPLE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC SYSTEM WITH CRITICAL SOBOLEV-HARDY EXPONENTS AND CONCAVE-CONVEX TERMS
Li, Yuanxiao
Gao, Wenjie
ACTA MATHEMATICA SCIENTIA, 2013, 33 (01) : 107 - 121
[47] A coupled Hartree system with Hardy-Littlewood-Sobolev critical exponent: Existence and multiplicity of high energy positive solutions
Chen, Mengyao
Guo, Lun
Li, Qi
JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 385 : 1 - 56
[48] Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev-Hardy critical exponent
Fan, Hongsen
Deng, Zhiying
BOUNDARY VALUE PROBLEMS, 2021, 2021 (01)
[49] Two Positive Solutions for Kirchhoff Type Problems with Hardy-Sobolev Critical Exponent and Singular Nonlinearities
Tang, Yu-Ting
Liao, Jia-Feng
Tang, Chun-Lei
TAIWANESE JOURNAL OF MATHEMATICS, 2019, 23 (01): : 231 - 253
[50] Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity
Fang, Xiangdong
Zhang, Jianjun
ADVANCES IN NONLINEAR ANALYSIS, 2020, 9 (01) : 1420 - 1436

← 1 2 3 4 5 →