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arXiv · 0705.2287

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

Hongjie Dong·Seick Kim·Mikhail Safonov
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Abstract

We study boundary blow-up solutions of semilinear elliptic equations $Lu=u_+^p$ with $p>1$, or $Lu=e^{au}$ with $a>0$, where $L$ is a second order elliptic operator with measurable coefficients. Several uniqueness theorems and an existence theorem are obtained.

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Hongjie Dong, Seick Kim, Mikhail Safonov. 2007-05-16. On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations. https://doi.org/10.1080/03605300601188748

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