ISOLATED SINGULARITIES FOR ELLIPTIC EQUATIONS WITH HARDY OPERATOR AND SOURCE NONLINEARITY

被引：19

作者：

Chen, Huyuan ^{[1
]}

Zhou, Feng ^{[2
,3
]}

机构：

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

[2] East China Normal Univ, Ctr PDEs, Shanghai 200241, Peoples R China

[3] East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 06期

关键词：

Hardy potential; isolated singularity; classification; POSITIVE SOLUTIONS; LOCAL BEHAVIOR; SOBOLEV OPERATOR; EXISTENCE; INEQUALITIES;

D O I：

10.3934/dcds.2018126

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we concern the isolated singular solutions for semilinear elliptic equations involving Hardy-Leray potential - Delta u + mu/vertical bar x&VERBAR(2) u = u(p) in Omega\{0}, u = 0 on partial derivative Omega. (1) We classify the isolated singularities and obtain the existence and stability of positive solutions of (1). Our results are based on the study of nonhomogeneous Hardy problem in a new distributional sense.

引用

页码：2945 / 2964

页数：20

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