Multiple Solutions for a Fractional Laplacian System Involving Critical Sobolev-Hardy Exponents and Homogeneous Term

被引：5

作者：

Zhang, Jinguo ^{[1
]}

Hsu, Tsing-San ^{[2
]}

机构：

[1] Jiangxi Normal Univ, Sch Math, Nanchang 330022, Jiangxi, Peoples R China

[2] Chang Gung Univ, Ctr Gen Educ, Taoyuan, Taiwan

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2020年 / 25卷 / 01期

关键词：

fractional Laplacian system; Nehari manifold; critical Sobolev-Hardy exponent; homogeneous term; POSITIVE SOLUTIONS; ELLIPTIC-EQUATIONS; REGULARITY;

D O I：

10.3846/mma.2020.7704

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with a class of fractional Laplacian system with critical Sobolev-Hardy exponents and sign-changing weight functions in a bounded domain. By exploiting the Nehari manifold and variational methods, some new existence and multiplicity results are obtain.

引用

页码：1 / 20

页数：20

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