Fractional Laplacian system involving doubly critical nonlinearities in RN

被引：8

作者：

Wang, Li ^{[1
]}

Zhang, Binlin ^{[2
]}

Zhang, Haijin ^{[1
]}

机构：

[1] East China Jiaotong Univ, Coll Sci, Nanchang 330013, Jiangxi, Peoples R China

[2] Heilongjiang Inst Technol, Dept Math, Harbin 150050, Heilongjiang, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2017年 / 57期

基金：

中国国家自然科学基金; 黑龙江省自然科学基金;

关键词：

fractional Laplacian system; doubly critical nonlinearities; variational methods; ELLIPTIC-EQUATIONS; EXISTENCE; MULTIPLICITY; CONSTANTS;

D O I：

10.14232/ejqtde.2017.1.57

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we are interested in a fractional Laplacian system in R-N, which involves critical Sobolev-type nonlinearities and critical Hardy-Sobolev-type nonlinearities. By using variational methods, we investigate the extremals of the corresponding best fractional Hardy-Sobolev constant and establish the existence of solutions. To our best knowledge, our main results are new in the study of the fractional Laplacian system.

引用

页码：1 / 17

页数：17

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