Uniqueness and layer analysis for boundary blow-up solutions

被引：27
|
作者：
Du, YH [1 ]
Guo, ZM
机构：
[1] Univ New England, Sch Math Stat & Comp Sci, Armidale, NSW 2351, Australia
[2] Henan Normal Univ, Dept Math, Xinxiang 453002, Peoples R China
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2004年 / 83卷 / 06期
基金：
澳大利亚研究理事会;
关键词：
boundary blow-up solution; uniqueness; layer estimate; flat core;
D O I：
10.1016/j.matpur.2004.01.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove uniqueness for boundary blow-up solutions of the problem: Deltau = lambdaf(u) in Omega, u\partial derivativeOmega = infinity, with large lambda. Previous uniqueness results require a monotonicity assumption for f (u)/u in the entire range of the boundary blow-up solutions. By obtaining good boundary layer estimates for large lambda, we obtain uniqueness under much weaker assumptions on f (u). Our estimates for the layers of the boundary blow-up solutions have independent interest, and may have other applications. (C) 2004 Elsevier SAS. All rights reserved.
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页码：739 / 763
页数：25
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