  In this paper we study the so-called large solutions of elliptic semilinear
equations with non null sources term, thus solutions blowing up on the boundary
of the domain for which reason they are greater than any other solution
whenever Weak Maximum Principle holds. The main topic about large solutions is
uniqueness results and their behavior near the boundary. It is much less than
being simple. The structure of the semilinear equations considered includes the
well known Keller-Osserman integral and an assumption on the ellipticity of the
leading part of the differential operator. In our study an uniform ellipticity
near the boundary is required. We consider source terms in the PDE whose
boundary explosion is consistent with the Keller-Osserman condition. Extra
Keller-Osserman explosions on the source are also studied, showing in
particular that in some cases the PDE only admits large solutions.
