  In this paper we study existence, nonexistence and classification of radial
positive solutions of some weighted fully nonlinear equations involving Pucci
extremal operators. Our results are entirely based on the analysis of the
dynamics induced by an autonomous quadratic system which is obtained after a
suitable transformation. This method allows to treat both regular and singular
solutions in a unified way, without using energy arguments. In particular we
recover known results on regular solutions for the fully nonlinear non weighted
problem by alternative proofs. We also slightly improve the classification of
the solutions for the extremal operator $\mathcal{M}^-$.
