A refined bound on the dimension of RN for an elliptic system involving critical terms with infinitely many solutions

被引：2

作者：

Benmouloud, Samira ^{[1
]}

Khiddi, Mustapha ^{[1
]}

Sbai, Simohammed ^{[1
]}

机构：

[1] Univ Ibn Tofail, Fac Sci, Dept Maths, BP 133, Kenitra, Morocco

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2018年 / 7卷 / 01期

关键词：

Elliptic system; infinitely many solutions; critical exponent; variational method; CRITICAL SOBOLEV; CRITICAL EXPONENTS; EQUATION;

D O I：

10.1515/anona-2015-0164

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we extend the result of Yan and Yang [16] on equations to an elliptic system involving critical Sobolev and Hardy-Sobolev exponents in bounded domains satisfying some geometric condition. In addition, we weaken the conditions on the dimension N and on the potential a(x) set in [16]. Our main result asserts, by a variational global-compactness argument, that the condition on the dimension N can be refined from N >= 7 to N > max(4, Left perpandicular2sright perpandicular + 2), where 0 < s < 2 and still end up with infinitely many solutions.

引用

页码：85 / 96

页数：12

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