Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth

被引：21

作者：

Cao, Daomin ^{[1
]}

Peng, Shuangjie

机构：

[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China

[2] Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100080, Peoples R China

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2006年 / 185卷 / 02期

关键词：

asymptotic behavior; singularity; critical Sobolev; Hardy exponents;

D O I：

10.1007/s10231-005-0150-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let B-R subset of R-N (N >= 3) be a ball centered at the origin with radius R. We investigate the asymptotic behavior of positive solutions for the Dirichlet problem -Delta U = mu u/vertical bar x vertical bar(2) + u(2*-1-epsilon), u > 0 in B-R, u = 0 on partial derivative B-R when epsilon -> 0(+) for suitable positive numbers mu.

引用

页码：189 / 205

页数：17

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