Existence and multiplicity of positive solutions to elliptic systems involving critical exponents

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:383

Article

Wei, Qiaoling¹  Kang, Dongsheng¹ 

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

关键词: Elliptic system;    Positive solution;    Critical exponent;    Variational method;   

DOI  :  10.1016/j.jmaa.2011.05.053

来源: Elsevier

【 摘 要 】

In this paper, a singular elliptic system involving multiple critical exponents and the Caffarelli-Kohn-Nirenberg inequality is investigated. By using the extremals of the best Hardy-Sobolev constants, the existence and multiplicity of positive solutions to the system are established. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free