Uniqueness and Layer Analysis for Boundary Blow-up Solutions

Y Du; Z Guo

doi:10.1016/j.matpur.2004.01.006

Uniqueness and Layer Analysis for Boundary Blow-up Solutions

Y Du, Z Guo

Mathematics

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

Abstract

We prove uniqueness for boundary blow-up solutions of the problem:Δu=λf(u) in Ω,u|∂Ω=∞, with large λ. Previous uniqueness results require a monotonicity assumption for f(u)lu in the entire range of the boundary blow-up solutions. By obtaining good boundary layer estimates for large λ, 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.

Original language	English
Pages (from-to)	739-763
Journal	Journal de Mathematiques Pures et Appliquees
Volume	83
Issue number	6
DOIs	https://doi.org/10.1016/j.matpur.2004.01.006
Publication status	Published - 2004

Keywords

Ordinary Differential Equations, Difference Equations and Dynamical Systems

Access to Document

10.1016/j.matpur.2004.01.006

https://hdl.handle.net/1959.11/434

Handle.net

Persistent link

Cite this

@article{5ce13862704b46a7bcbf00c2e80e899b,

title = "Uniqueness and Layer Analysis for Boundary Blow-up Solutions",

abstract = "We prove uniqueness for boundary blow-up solutions of the problem:Δu=λf(u) in Ω,u|∂Ω=∞, with large λ. Previous uniqueness results require a monotonicity assumption for f(u)lu in the entire range of the boundary blow-up solutions. By obtaining good boundary layer estimates for large λ, 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.",

keywords = "Ordinary Differential Equations, Difference Equations and Dynamical Systems",

author = "Y Du and Z Guo",

year = "2004",

doi = "10.1016/j.matpur.2004.01.006",

language = "English",

volume = "83",

pages = "739--763",

journal = "Journal de Mathematiques Pures et Appliquees",

issn = "0021-7824",

publisher = "Elsevier Masson",

number = "6",

}

TY - JOUR

T1 - Uniqueness and Layer Analysis for Boundary Blow-up Solutions

AU - Du, Y

AU - Guo, Z

PY - 2004

Y1 - 2004

N2 - We prove uniqueness for boundary blow-up solutions of the problem:Δu=λf(u) in Ω,u|∂Ω=∞, with large λ. Previous uniqueness results require a monotonicity assumption for f(u)lu in the entire range of the boundary blow-up solutions. By obtaining good boundary layer estimates for large λ, 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.

AB - We prove uniqueness for boundary blow-up solutions of the problem:Δu=λf(u) in Ω,u|∂Ω=∞, with large λ. Previous uniqueness results require a monotonicity assumption for f(u)lu in the entire range of the boundary blow-up solutions. By obtaining good boundary layer estimates for large λ, 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.

KW - Ordinary Differential Equations, Difference Equations and Dynamical Systems

UR - https://www.scopus.com/pages/publications/2442670489

U2 - 10.1016/j.matpur.2004.01.006

DO - 10.1016/j.matpur.2004.01.006

M3 - Article

SN - 0021-7824

VL - 83

SP - 739

EP - 763

JO - Journal de Mathematiques Pures et Appliquees

JF - Journal de Mathematiques Pures et Appliquees

IS - 6

ER -

Uniqueness and Layer Analysis for Boundary Blow-up Solutions

Abstract

Keywords

Access to Document

Handle.net

Fingerprint

Cite this