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

被引：1

作者：

Cai, Zhipeng ^{[1
]}

Chu, Changmu ^{[1
]}

Lei, Chunyu ^{[1
]}

机构：

[1] Guizhou Minzu Univ, Sch Data Sci & Informat Engn, Guiyang 550025, Guizhou, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2017年

基金：

中国国家自然科学基金;

关键词：

fractional operator; Hardy-Sobolev-Maz'ya potential; critical nonlinearities; positive solution; MULTIPLICITY; EQUATIONS;

D O I：

10.1186/s13661-017-0912-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：11

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