Positive minimizers of the best constants and solutions to coupled critical quasilinear systems

被引：15

作者：

Kang, Dongsheng ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 01期

关键词：

System; Quasilinear elliptic equation; Minimizer; Solution; Variational method; SINGULAR ELLIPTIC-SYSTEMS; CRITICAL SOBOLEV; CRITICAL NONLINEARITIES; EQUATIONS; EXISTENCE; SYMMETRY;

D O I：

10.1016/j.jde.2015.08.042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, systems of quasilinear elliptic equations are investigated, which involve critical homogeneous nonlinearities and deferent Hardy-type terms. By variational methods and careful analysis, positive minimizers of the related best Sobolev constants are found and the existence of positive solutions to the systems is verified. The results are new even in the case p = 2. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：133 / 148

页数：16

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