Existence and Nonexistence of Ground State Solutions to Singular Elliptic Systems

被引：2

作者：

Kang, Dongsheng ^{[1
]}

Li, Jing ^{[1
]}

Xu, Liangshun ^{[1
]}

机构：

[1] South Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 03期

关键词：

Elliptic system; Critical nonlinearity; Singular point; Minimizer to Rayleigh quotient; Ground state solution;

D O I：

10.1007/s40840-017-0518-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a system of semi-linear elliptic equations is investigated, which involves multiple critical nonlinearities and multiple singular points. By variational methods, the existence and nonexistence of minimizers to the Rayleigh quotient and ground state solutions to the system are established.

引用

页码：859 / 884

页数：26

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