On the singular elliptic systems involving multiple critical Sobolev exponents

被引：36

作者：

Huang, Yan ^{[1
]}

Kang, Dongsheng ^{[1
]}

机构：

[1] S Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Elliptic system; Solution; Critical exponent; Hardy inequality; Variational method; EQUATIONS; EXISTENCE; NONEXISTENCE;

D O I：

10.1016/j.na.2010.08.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a singular elliptic system is investigated, which involves multiple critical Sobolev exponents and Hardy-type terms. By using variational methods and analytical techniques, the existence of positive and sign-changing solutions to the system is established. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：400 / 412

页数：13

共 50 条

[1] Quasilinear Elliptic Systems Involving Critical Hardy-Sobolev and Sobolev Exponents
Kang, Dongsheng
Kang, Yangguang
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2017, 40 (01) : 1 - 17
[2] Quasilinear Elliptic Systems Involving Critical Hardy–Sobolev and Sobolev Exponents
Dongsheng Kang
Yangguang Kang
Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40 : 1 - 17
[3] Symmetric solutions for singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents
Deng, Zhiying
Huang, Yisheng
BOUNDARY VALUE PROBLEMS, 2015,
[4] Existence of multiple positive solutions to singular elliptic systems involving critical exponents
Zhang, Jian
Wei, Zhongli
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (02) : 559 - 573
[5] Quasilinear elliptic problems involving multiple critical Hardy-Sobolev exponents
Kang, Dongsheng
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (01) : 107 - 116
[6] Elliptic systems involving the critical exponents and potentials
Huang, Yan
Kang, Dongsheng
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 3638 - 3653
[7] On multiple solutions for a singular quasilinear elliptic system involving critical Hardy-Sobolev exponents
Miyagaki, O. H.
Rodrigues, R. S.
HOUSTON JOURNAL OF MATHEMATICS, 2008, 34 (04): : 1271 - 1293
[8] Semilinear systems involving multiple critical Hardy-Sobolev exponents and three singular points
Kang, Dongsheng
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (08) : 4514 - 4522
[9] Existence and asymptotic properties of solutions to elliptic systems involving multiple critical exponents
Kang DongSheng
Peng ShuangJie
SCIENCE CHINA-MATHEMATICS, 2011, 54 (02) : 243 - 256
[10] Multiple solutions for weighted nonlinear elliptic system involving critical exponents
Lu, Dengfeng
Xiao, Jianhai
MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) : 816 - 827

← 1 2 3 4 5 →