Quasilinear Elliptic Equations with Hardy-Sobolev Critical Exponents: Existence and Multiplicity of Nontrivial Solutions

被引：0

作者：

Chen, Guanwei ^{[1
]}

机构：

[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Henan, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2014年

关键词：

POSITIVE SOLUTIONS;

D O I：

10.1155/2014/482740

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of positive solutions and multiplicity of nontrivial solutions for a class of quasilinear elliptic equations by using variational methods. Our obtained results extend some existing ones.

引用

页数：6

共 50 条

[1] Existence and Multiplicity of Nontrivial Solutions for Semilinear Elliptic Equations Involving Hardy-Sobolev Critical Exponents
Fan, Yonghong
Sun, Wenheng
Wang, Linlin
AXIOMS, 2024, 13 (07)
[2] Quasilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents: nontrivial solutions
Guanwei Chen
Boundary Value Problems, 2015
[3] Quasilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents: nontrivial solutions
Chen, Guanwei
BOUNDARY VALUE PROBLEMS, 2015,
[4] Existence and multiplicity of solutions for semilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents
Ding, Ling
Tang, Chun-Lei
APPLIED MATHEMATICS LETTERS, 2007, 20 (12) : 1175 - 1183
[5] Existence and multiplicity of solutions for semilinear elliptic equations with critical weighted Hardy-Sobolev exponents
Huang, Li
Wu, Xing-Ping
Tang, Chun-Lei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1916 - 1924
[6] MULTIPLICITY OF SOLUTIONS FOR SINGULAR SEMILINEAR ELLIPTIC EQUATIONS WITH CRITICAL HARDY-SOBOLEV EXPONENTS
Guo, Qianqiao
Niu, Pengcheng
Dou, Jingbo
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2008, 2 (02) : 158 - 174
[7] Existence and multiplicity of symmetric solutions for semilinear elliptic equations with singular potentials and critical Hardy-Sobolev exponents
Deng, Zhiying
Huang, Yisheng
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 393 (01) : 273 - 284
[8] Existence and multiplicity of positive solutions for a class of semilinear elliptic equations involving Hardy term and Hardy-Sobolev critical exponents
Ding, Ling
Tang, Chun-Lei
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 339 (02) : 1073 - 1083
[9] SOLUTIONS FOR THE QUASILINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS
Kang Dongsheng
ACTA MATHEMATICA SCIENTIA, 2010, 30 (05) : 1529 - 1540
[10] SOLUTIONS FOR THE QUASILINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS
康东升
Acta Mathematica Scientia, 2010, 30 (05) : 1529 - 1540

← 1 2 3 4 5 →