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

[21] Existence of symmetric solutions for singular semilinear elliptic systems with critical Hardy-Sobolev exponents
Deng, Zhiying
Huang, Yisheng
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 613 - 625
[22] 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
[23] A perturbed nonlinear elliptic PDE with two Hardy-Sobolev critical exponents
Zhong, X.
Zou, W.
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2016, 18 (04)
[24] On the elliptic problems with critical weighted Sobolev-Hardy exponents
Kang, Dongsheng
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (05) : 1037 - 1050
[25] High Energy Solutions for p-Kirchhoff Elliptic Problems with Hardy-Littlewood-Sobolev Nonlinearity
Goel, Divya
Rawat, Sushmita
Sreenadh, K.
JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (07)
[26] MULTIPLICITY OF POSITIVE SOLUTIONS FOR SINGULAR ELLIPTIC SYSTEMS WITH CRITICAL SOBOLEV-HARDY AND CONCAVE EXPONENTS
Hsu, Tsing-San
Li, Huei-Lin
ACTA MATHEMATICA SCIENTIA, 2011, 31 (03) : 791 - 804
[27] Positive ground state solutions for an elliptic system with Hardy-Sobolev critical exponent growth
Guo, Zhenyu
Zou, Wenming
JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (10)
[28] SIGN-CHANGING SOLUTIONS TO ELLIPTIC PROBLEMS WITH TWO CRITICAL SOBOLEV-HARDY EXPONENTS
Peng, Yanfang
Yang, Jing
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2015, 14 (02) : 439 - 455
[29] Ground states for a nonhomogeneous elliptic system involving Hardy-Sobolev critical exponents
Guo, Zhenyu
MATHEMATISCHE NACHRICHTEN, 2017, 290 (07) : 1053 - 1065
[30] FRACTIONAL ELLIPTIC PROBLEMS WITH TWO CRITICAL SOBOLEV-HARDY EXPONENTS
Chen, Wenjing
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,

← 1 2 3 4 5 →