ISOLATED SINGULARITY FOR SEMILINEAR ELLIPTIC EQUATIONS

被引：11

作者：

Wei, Lei ^{[1
]}

Feng, Zhaosheng ^{[2
]}

机构：

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China

[2] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78539 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 07期

关键词：

Hardy potential; eigenvalue; super-subsolution method; minimal positive solution; BLOW-UP SOLUTIONS;

D O I：

10.3934/dcds.2015.35.3239

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a class of semilinear elliptic equations with the Hardy potential. By means of the super-subsolution method and the comparison principle, we explore the existence of a minimal positive solution and a maximal positive solution. Through a scaling technique, we obtain the asymptotic property of positive solutions near the origin. Finally, the nonexistence of a positive solution is proven when the parameter is larger than a critical value.

引用

页码：3239 / 3252

页数：14

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