Elliptic systems involving critical nonlinearities and different Hardy-type terms

被引：12

作者：

Kang, Dongsheng ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 420卷 / 02期

关键词：

Elliptic system; Solution; Moser iteration; Asymptotic property; Variational method; CRITICAL SOBOLEV; EQUATIONS; INEQUALITIES; EXISTENCE;

D O I：

10.1016/j.jmaa.2014.06.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a singular system of elliptic equations is investigated, which involves. critical nonlinearities and deferent Hardy-type terms. Existence of positive solutions to the system is verified by variational methods and asymptotic properties of solutions at the singular point are established by the Moser iteration method. It is found that the functions in solutions have different singularities at the singular point. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：930 / 941

页数：12

共 21 条

[1]

Abdellaoui B., 2006, Boll. UMI, V9-B, P445

[2]

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

[3]

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

[4] On a singular elliptic system at resonance [J].

Bouchekif, Mohammed ;

Nasri, Yasmina .

ANNALI DI MATEMATICA PURA ED APPLICATA, 2010, 189 (02) :227-240

[5] 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

[6]

CAFFARELLI L, 1984, COMPOS MATH, V53, P259

[7] 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

[8] A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms [J].

Cao, DM ;

Peng, SJ .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 193 (02) :424-434

[9]

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

[10]

2-I

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