  In this paper we deal with existence and uniqueness of solution to
super-linear problems for the Pucci operator: $$ -\M^+(D^2u)+|u|^{s-1}u=f(x)
\quad {in} \RR^n, $$ where $s>1$ and $f$ satisfies only local integrability
conditions. This result is well known when, instead of the Pucci operator, the
Laplacian or a divergence form operator is considered. Our existence results
use the Alexandroff-Bakelman-Pucci inequality since we cannot use any
variational formulation. For radially symmetric $f$ we can prove our results
under less local integrability assumptions, taking advantage of an appropriate
variational formulation. We also obtain an existence result with boundary
explosion in smooth domains.
