ISOLATED SINGULARITY FOR SEMILINEAR ELLIPTIC EQUATIONS

被引：12
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
收藏
页码：3239 / 3252
页数：14
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