Multiple positive solutions for Robin problem involving critical weighted Hardy-Sobolev exponents with boundary singularities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:414

Article

Song, Yuan-Yuan¹  Wu, Xing-Ping¹  Tang, Chun-Lei¹ 

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

关键词: Critical weighted Hardy-Sobolev exponents;    Boundary singularities;    Caffarelli-Kohn-Nirenberg inequalities;    Ekeland variational principle;    Mountain pass lemma;    Positive solutions;   

DOI  :  10.1016/j.jmaa.2013.12.049

来源: Elsevier

【 摘 要 】

This paper deals with the existence of positive solutions for Robin elliptic problems involving critical weighted Hardy-Sobolev exponents with boundary singularities. Using the Caffarelli-Kohn-Nirenberg inequalities and variational methods, we prove the existence and multiplicity of positive solutions. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free