Solutions for Semilinear Elliptic Systems with Critical Sobolev Exponent and Hardy Potential

被引：0

作者：

Bouchekif, Mohammed ^{[1
]}

Nasri, Yasmina ^{[1
]}

机构：

[1] Univ Tlemcen, Fac Sci, Dept Math, Tilimsen 13000, Algeria

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2010年 / 62卷 / 01期

关键词：

critical Sobolev exponent; Palais-Smale condition; Linking theorem; Hardy potential; EQUATIONS; EXISTENCE;

D O I：

10.4153/CJM-2010-002-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider an elliptic system with an inverse square potential and critical Sobolev exponent in a bounded domain of R(N). By variational methods we study the existence results.

引用

页码：19 / 33

页数：15

共 50 条

[1] MULTIPLE SOLUTIONS FOR SEMILINEAR ELLIPTIC SYSTEMS INVOLVING CRITICAL SOBOLEV EXPONENT
Ishiwata, Michinori
[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2007, 20 (11) : 1237 - 1252
[2] Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential
Kang, DS
Peng, SJ
[J]. APPLIED MATHEMATICS LETTERS, 2005, 18 (10) : 1094 - 1100
[3] Asymptotic Behaviors of Solutions to Quasilinear Elliptic Equation with Hardy Potential and Critical Sobolev Exponent
Pu, Ma
Huang, Shuibo
Tian, Qiaoyu
[J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2023, 22 (04)
[4] Asymptotic Behaviors of Solutions to Quasilinear Elliptic Equation with Hardy Potential and Critical Sobolev Exponent
Ma Pu
Shuibo Huang
Qiaoyu Tian
[J]. Qualitative Theory of Dynamical Systems, 2023, 22
[5] POSITIVE SOLUTIONS OF PERTURBED ELLIPTIC PROBLEMS INVOLVING HARDY POTENTIAL AND CRITICAL SOBOLEV EXPONENT
Zhang, Jing
Ma, Shiwang
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2016, 21 (06): : 1999 - 2009
[6] Effect of topology on the multiplicity of solutions for some semilinear elliptic systems with critical Sobolev exponent
Michinori Ishiwata
[J]. Nonlinear Differential Equations and Applications NoDEA, 2009, 16 : 283 - 296
[7] Effect of topology on the multiplicity of solutions for some semilinear elliptic systems with critical Sobolev exponent
Ishiwata, Michinori
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2009, 16 (03): : 283 - 296
[8] Multiple positive solutions for a semilinear elliptic equation with critical Sobolev exponent
Liu, Haidong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 354 (02) : 451 - 458
[9] On the critical dimension of a semilinear degenerate elliptic equation involving critical Sobolev-Hardy exponent
Chou, KS
Geng, D
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (12) : 1965 - 1984
[10] Existence of Solutions to the Elliptic Equations with Critical Sobolev-Hardy Exponent
Matallah, Atika
Litimein, Sara
[J]. ICEMIS'18: PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE ON ENGINEERING AND MIS, 2018,

← 1 2 3 4 5 →