Existence of positive solutions for a fractional elliptic problems with the Hardy-Sobolev-Maz’ya potential and critical nonlinearities

Boundary value problems

Zhipeng Cai¹  Chunyu Lei¹  Changmu Chu² 

[1] School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, People’s Republic of China

关键词: fractional operator;    Hardy-Sobolev-Maz’ya potential;    critical nonlinearities;    positive solution;    35A15;    35B09;    35B33;    35R11;   

DOI  :  10.1186/s13661-017-0912-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider the study of a fractional elliptic problem with the Hardy-Sobolev-Maz’ya potential and critical nonlinearities. By means of variational methods and suitable technique, a positive solution to this problem is obtained.

【 授权许可】

CC BY