Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems

Advances in Nonlinear Analysis

article

Fuliang Wang¹  Die Hu¹  Mingqi Xiang¹ 

[1] Department of Mathematics, College of Science, Civil Aviation University of China

关键词: Fractional Kirchhoff problem;    Choquard nonlinearity;    Singular nonlinearity;    Nehari manifold method;    Multiple solutions;   

DOI  :  10.1515/anona-2020-0150

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

The aim of this paper is to study the existence and multiplicity of solutions for a class of fractional Kirchho problems involving Choquard type nonlinearity and singular nonlinearity. Under suitable assumptions, two nonnegative and nontrivial solutions are obtained by using the Nehari manifold approach combined with the Hardy-Littlehood-Sobolev inequality.

【 授权许可】

CC BY