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

共 50 条

[21] Structure of positive boundary blow-up solutions
Guo, ZM
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2004, 134 : 923 - 937
[22] CONVEXITY OF SOLUTIONS TO BOUNDARY BLOW-UP PROBLEMS
Juutinen, Petri
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (05) : 2267 - 2275
[23] Boundary blow-up solutions of cooperative systems
Davila, Juan
Dupaigne, Louis
Goubet, Olivier
Martinez, Salome
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2009, 26 (05): : 1767 - 1791
[24] Uniqueness of the blow-up boundary solution of logistic equations with absorbtion
Cîrstea, FC
Radulescu, V
COMPTES RENDUS MATHEMATIQUE, 2002, 335 (05) : 447 - 452
[25] Blow-up time and boundary layer for solutions in parabolic equations with different diffusion
Liu, Bingchen
Li, Fengjie
APPLICABLE ANALYSIS, 2017, 96 (16) : 2818 - 2831
[26] Existence and uniqueness of blow-up solutions for a class of logistic equations
St Cîrstea, FC
Radulescu, VD
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2002, 4 (03) : 559 - 586
[27] Uniqueness of minimal blow-up solutions to nonlinear Schrodinger system
Su, Yiming
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 155 : 186 - 197
[28] ASYMPTOTIC BEHAVIOR AND UNIQUENESS OF BLOW-UP SOLUTIONS OF ELLIPTIC EQUATIONS
Lieberman, Gary M.
METHODS AND APPLICATIONS OF ANALYSIS, 2008, 15 (02) : 243 - 262
[29] BLOW-UP BOUNDARY SOLUTIONS FOR QUASILINEAR ANISOTROPIC EQUATIONS
Amzoiu, Manuel
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2010, 18 (01): : 35 - 47
[30] Blow-up boundary solutions of semilinear elliptic problems
Cîrstea, FS
Radulescu, VD
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 48 (04) : 521 - 534

← 1 2 3 4 5 →