Exact multiplicity for boundary blow-up solutions

被引：9
|
作者：
Guo, Zongming
Zhou, Feng [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
[2] Henan Normal Univ, Dept Math, Xinxiang 453002, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年 / 228卷 / 02期
基金：
中国国家自然科学基金;
关键词：
boundary blow-up solutions; exact multiplicity; radial symmetry;
D O I：
10.1016/j.jde.2006.02.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The singularly perturbed boundary blow-up problem -epsilon(2)Delta u = u(u - a)(1 - u), u > 0 in B, u = infinity on partial derivative B is studied in the unit ball B subset of R(N) (N >= 2), a is an element of (1/2, 1) is a constant. It is shown that for epsilon > 0 sufficiently small, there exist exactly three positive solutions for the problem and all of them are radially symmetric solutions. (c) 2006 Elsevier Inc. All rights reserved.
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页码：486 / 506
页数：21
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