On uniqueness of boundary blow-up solutions of a class of nonlinear elliptic equations

Hongjie Dong; Seick Kim; Mikhail Safonov

doi:10.1080/03605300601188748

On uniqueness of boundary blow-up solutions of a class of nonlinear elliptic equations

Hongjie Dong, Seick Kim, Mikhail Safonov

School of Mathematics

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

19 Scopus citations

Abstract

We study boundary blow-up solutions of semilinear elliptic equations Lu=u+p with p1, or Lu=eau with a0, where L is a second order elliptic operator with measurable coefficients. Several uniqueness theorems and an existence theorem are obtained.

Original language	English (US)
Pages (from-to)	177-188
Number of pages	12
Journal	Communications in Partial Differential Equations
Volume	33
Issue number	2
DOIs	https://doi.org/10.1080/03605300601188748
State	Published - Feb 2008

Keywords

Boundary blow-up
Nonlinear elliptic equations
Uniqueness

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10.1080/03605300601188748

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title = "On uniqueness of boundary blow-up solutions of a class of nonlinear elliptic equations",

abstract = "We study boundary blow-up solutions of semilinear elliptic equations Lu=u+p with p1, or Lu=eau with a0, where L is a second order elliptic operator with measurable coefficients. Several uniqueness theorems and an existence theorem are obtained.",

keywords = "Boundary blow-up, Nonlinear elliptic equations, Uniqueness",

author = "Hongjie Dong and Seick Kim and Mikhail Safonov",

year = "2008",

month = feb,

doi = "10.1080/03605300601188748",

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journal = "Communications in Partial Differential Equations",

issn = "0360-5302",

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AU - Dong, Hongjie

AU - Kim, Seick

AU - Safonov, Mikhail

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N2 - We study boundary blow-up solutions of semilinear elliptic equations Lu=u+p with p1, or Lu=eau with a0, where L is a second order elliptic operator with measurable coefficients. Several uniqueness theorems and an existence theorem are obtained.

AB - We study boundary blow-up solutions of semilinear elliptic equations Lu=u+p with p1, or Lu=eau with a0, where L is a second order elliptic operator with measurable coefficients. Several uniqueness theorems and an existence theorem are obtained.

KW - Boundary blow-up

KW - Nonlinear elliptic equations

KW - Uniqueness

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EP - 188

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 2

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On uniqueness of boundary blow-up solutions of a class of nonlinear elliptic equations

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