Existence result for semilinear elliptic systems involving critical exponents

Boundary value problems

M Farzinejad¹  O Khazaee kohpar¹  S Khademloo¹ 

[1] Department of Basic Sciences, Babol University of Technology, Babol, Iran

关键词: semilinear elliptic system;    nontrivial solution;    critical exponent;    variational method;   

DOI  :  10.1186/1687-2770-2012-119

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we deal with the existence of a positive solution for a class of semilinear systems of multi-singular elliptic equations which involve Sobolev critical exponents. In fact, by the analytic techniques and variational methods, we prove that there exists at least one positive solution for the system. MSC: 35J60, 35B33.

【 授权许可】

CC BY