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

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

2007-05-16

arxiv.org/abs/0705.2287v1

Comm. Partial Differential Equations 33 (2008), no. 2, pp. 177-188

Mathematics

Analysis of PDEs

To appear in Comm. Partial Differential Equations; 10 pages

Scientific paper

10.1080/03605300601188748

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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