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

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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.
To appear in Comm. Partial Differential Equations; 10 pages

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Analysis of PDEs, 35J65; 35B05

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http://salesiana.dossiersoluciones.com/handle/123456789/154202

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.2287
 http://arxiv.org/abs/0705.2287
 Comm. Partial Differential Equations 33 (2008), no. 2, pp. 177-188
 doi:10.1080/03605300601188748

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