Asymptotic behavior of positive solutions of some elliptic problems

被引：10

作者：

Dancer, EN ^{[1
]}

Du, YH

Ma, L

机构：

[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

[2] Univ New England, Sch Math & Comp Sci, Armidale, NSW 2351, Australia

[3] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2003年 / 210卷 / 02期

关键词：

D O I：

10.2140/pjm.2003.210.215

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss the asymptotic behavior of the positive solutions of the problem -Deltau=au-bu(p), u\(partial derivativeOmega)=0 as p-->1+0 and as p-->infinity. We show that, for each case, the behavior is determined by a limiting problem. Moreover, the limiting problem is of free boundary nature when p-->infinity.

引用

页码：215 / 228

页数：14

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