Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents

被引：0

作者：

Lan, Yong-Yi ^{[1
]}

Hu, Xian ^{[1
]}

Tang, Bi-Yun ^{[1
]}

机构：

[1] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷

基金：

中国国家自然科学基金;

关键词：

DIRICHLET PROBLEM; EQUATIONS; MULTIPLICITY; EXISTENCE; TERM;

D O I：

10.1155/2020/6727414

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study multiplicity of positive solutions for a class of semilinear elliptic equations with the nonlinearity containing singularity and Hardy-Sobolev exponents. Using variational methods, we establish the existence and multiplicity of positive solutions for the problem.

引用

页数：7

共 50 条

[1] SOLUTIONS FOR THE QUASILINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS
Kang Dongsheng
ACTA MATHEMATICA SCIENTIA, 2010, 30 (05) : 1529 - 1540
[2] SOLUTIONS FOR THE QUASILINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS
康东升
ActaMathematicaScientia, 2010, 30 (05) : 1529 - 1540
[3] Positive solutions for semilinear elliptic equations with critical weighted Hardy-Sobolev exponents
Liu, Hai-Yan
Tang, Chun-Lei
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2015, 22 (04) : 611 - 631
[4] Multiple positive solutions for semilinear elliptic equations with critical weighted Hardy-Sobolev exponents
Huang, Xiao-Jiao
Wu, Xing-Ping
Tang, Chun-Lei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (07) : 2602 - 2611
[5] Nontrivial solutions to semilinear elliptic problems involving two critical Hardy-Sobolev exponents
Kang, Dongsheng
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (11) : 4230 - 4243
[6] Quasilinear elliptic problems involving multiple critical Hardy-Sobolev exponents
Kang, Dongsheng
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (01) : 107 - 116
[7] On elliptic problems with two critical Hardy-Sobolev exponents at the same pole
Bouchekif, Mohammed
Messirdi, Sofiane
APPLIED MATHEMATICS LETTERS, 2015, 42 : 9 - 14
[8] Existence and Nonexistence of Positive Solutions for Semilinear Elliptic Equations Involving Hardy-Sobolev Critical Exponents
Wang, Lin-Lin
Fan, Yong-Hong
MATHEMATICS, 2024, 12 (11)
[9] POSITIVE SOLUTION OF CRITICAL HARDY-SOBOLEV ELLIPTIC SYSTEMS WITH THE BOUNDARY SINGULARITY
Yang, Jianfu
Zhou, Yimin
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2013, 5 (02): : 249 - 269
[10] Quasilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents: nontrivial solutions
Guanwei Chen
Boundary Value Problems, 2015

← 1 2 3 4 5 →