Radial solutions for Hénon type fully nonlinear equations in annuli and exterior domains

Abstract

In this note we study existence of positive radial solutions in annuli and exterior domains for a class of nonlinear equations driven by Pucci extremal operators subject to a Hénon type weight. Our approach is based on the shooting method applied to the corresponding ODE problem, energy arguments, and the associated flow of an autonomous quadratic dynamical system.

Keywords

• fully nonlinear equations
• radial positive solutions
• dynamical system
• shooting method