Asymptotic Behavior and Uniqueness Results for Boundary Blow-up Solutions

Yihong Du

doi:10.1016/j.amc.2009.10.002

Asymptotic Behavior and Uniqueness Results for Boundary Blow-up Solutions

Yihong Du

Mathematics

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

8 Citations (Scopus)

Abstract

We estimate the blow-up rate and then improve some existing uniqueness results for boundary blow-up solutions to certain quasilinear elliptic equations with a weight function. The weight function is allowed to vanish on the part of the boundary where the solution blows up. Our approach is based on the construction of certain upper and lower solutions on small annuli with partial boundary blow-up, and on a modified version of an iteration technique due to Safonov.

Original language	English
Pages (from-to)	819-834
Journal	Differential and Integral Equations
Volume	17
Issue number	7-8
DOIs	https://doi.org/10.1016/j.amc.2009.10.002
Publication status	Published - 2004

Keywords

Ordinary Differential Equations, Difference Equations and Dynamical Systems

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10.1016/j.amc.2009.10.002

https://hdl.handle.net/1959.11/3642

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title = "Asymptotic Behavior and Uniqueness Results for Boundary Blow-up Solutions",

abstract = "We estimate the blow-up rate and then improve some existing uniqueness results for boundary blow-up solutions to certain quasilinear elliptic equations with a weight function. The weight function is allowed to vanish on the part of the boundary where the solution blows up. Our approach is based on the construction of certain upper and lower solutions on small annuli with partial boundary blow-up, and on a modified version of an iteration technique due to Safonov.",

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

author = "Yihong Du",

year = "2004",

doi = "10.1016/j.amc.2009.10.002",

language = "English",

volume = "17",

pages = "819--834",

journal = "Differential and Integral Equations",

issn = "0893-4983",

publisher = "Khayyam Publishing Company, Inc",

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T1 - Asymptotic Behavior and Uniqueness Results for Boundary Blow-up Solutions

AU - Du, Yihong

PY - 2004

Y1 - 2004

N2 - We estimate the blow-up rate and then improve some existing uniqueness results for boundary blow-up solutions to certain quasilinear elliptic equations with a weight function. The weight function is allowed to vanish on the part of the boundary where the solution blows up. Our approach is based on the construction of certain upper and lower solutions on small annuli with partial boundary blow-up, and on a modified version of an iteration technique due to Safonov.

AB - We estimate the blow-up rate and then improve some existing uniqueness results for boundary blow-up solutions to certain quasilinear elliptic equations with a weight function. The weight function is allowed to vanish on the part of the boundary where the solution blows up. Our approach is based on the construction of certain upper and lower solutions on small annuli with partial boundary blow-up, and on a modified version of an iteration technique due to Safonov.

KW - Ordinary Differential Equations, Difference Equations and Dynamical Systems

U2 - 10.1016/j.amc.2009.10.002

DO - 10.1016/j.amc.2009.10.002

M3 - Article

SN - 0893-4983

VL - 17

SP - 819

EP - 834

JO - Differential and Integral Equations

JF - Differential and Integral Equations

IS - 7-8

ER -

Asymptotic Behavior and Uniqueness Results for Boundary Blow-up Solutions

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