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 29 条

[1]

Abdellaoui B, 2009, CALC VAR PARTIAL DIF, V34, P97, DOI 10.1007/s00526-008-0177-2

[2] On systems of elliptic equations involving subcritical or critical Sobolev exponents [J].

Alves, CO ;

de Morais, DC ;

Souto, MAS .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (05) :771-787

[3]

Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7

[4]

[Anonymous], PNLDE

[5] Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities [J].

Bartsch, Thomas ;

Peng, Shuangjie ;

Zhang, Zhitao .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2007, 30 (01) :113-136

[6]

Boccardo L, 2006, DISCRETE CONT DYN S, V16, P513

[7] POSITIVE SOLUTIONS OF NON-LINEAR ELLIPTIC-EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS [J].

BREZIS, H ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1983, 36 (04) :437-477

[8] A RELATION BETWEEN POINTWISE CONVERGENCE OF FUNCTIONS AND CONVERGENCE OF FUNCTIONALS [J].

BREZIS, H ;

LIEB, E .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 88 (03) :486-490

[9] Solutions to critical elliptic equations with multi-singular inverse square potentials [J].

Cao, DM ;

Han, PG .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 224 (02) :332-372

[10]

Catrina F, 2001, COMMUN PUR APPL MATH, V54, P229, DOI 10.1002/1097-0312(200102)54:2<229::AID-CPA4>3.0.CO

← 1 2 3 →