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arXiv:0705.2287 [math.AP]AbstractReferencesReviewsResources

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

Hongjie Dong, Seick Kim, Mikhail Safonov

Published 2007-05-16Version 1

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.

Comments: To appear in Comm. Partial Differential Equations; 10 pages
Journal: Comm. Partial Differential Equations 33 (2008), no. 2, pp. 177-188
Categories: math.AP
Subjects: 35J65, 35B05
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