2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154202We 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 pagesAnalysis of PDEs35J65; 35B05text