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.

引用

页码：739 / 763

页数：25

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