On Uniqueness of Boundary Blow-Up Solutions of a Class of Nonlinear Elliptic Equations

Dong, Hongjie; Kim, Seick; Safonov, Mikhail

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On Uniqueness of Boundary Blow-Up Solutions of a Class of Nonlinear Elliptic Equations

Date

2008

Authors

Dong, Hongjie

Kim, Seick

Safonov, Mikhail

Publisher

Marcel Dekker Inc.

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.