MULTIPLICITY OF SOLUTIONS FOR SINGULAR SEMILINEAR ELLIPTIC EQUATIONS WITH CRITICAL HARDY-SOBOLEV EXPONENTS

被引：5

作者：

Guo, Qianqiao ^{[1
]}

Niu, Pengcheng ^{[1
]}

Dou, Jingbo ^{[1
]}

机构：

[1] NW Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2008年 / 2卷 / 02期

关键词：

Critical Hardy-Sobolev exponents; Hardy potential; variational method;

D O I：

10.2298/AADM0802158G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the semilinear elliptic problem with critical HARDY-SOBOLEV exponents and DIRICHLET boundary condition. By using variational methods we obtain the existence and multiplicity of nontrivial solutions and improve the former results.

引用

页码：158 / 174

页数：17

共 12 条

[1] 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

[2] Solutions for semilinear elliptic equations with critical exponents and Hardy potential [J].

Cao, DM ;

Han, PG .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 205 (02) :521-537

[3] Existence and multiplicity of solutions for semilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents [J].

Ding, Ling ;

Tang, Chun-Lei .

APPLIED MATHEMATICS LETTERS, 2007, 20 (12) :1175-1183

[4] ELLIPTIC BOUNDARY-VALUE PROBLEMS WITH SINGULAR COEFFICIENTS AND CRITICAL NONLINEARITIES [J].

EGNELL, H .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1989, 38 (02) :235-251

[5] Existence of solutions for singular critical growth semilinear elliptic equations [J].

Ferrero, A ;

Gazzola, F .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 177 (02) :494-522

[6]

Gazzola F., 1997, ADV DIFFERENTIAL EQU, V2, P555

[7] Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents [J].

Ghoussoub, N ;

Yuan, C .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 352 (12) :5703-5743

[8] On the elliptic problems with critical weighted Sobolev-Hardy exponents [J].

Kang, Dongsheng .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (05) :1037-1050

[9] Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential [J].

Kang, DS ;

Peng, SJ .

APPLIED MATHEMATICS LETTERS, 2005, 18 (10) :1094-1100

[10] Existence of solutions for elliptic problems with critical Sobolev-Hardy exponents [J].

Kang, DS ;

Peng, SJ .

ISRAEL JOURNAL OF MATHEMATICS, 2004, 143 (1) :281-297

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