Ricerc@Sapienza

Abstract. 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 M−.