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

• Published in: Mathematics in engineering Vol. 4; no. 6; pp. 1 - 18
• Main Authors: Maia, Liliane, Nornberg, Gabrielle
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2022
• Subjects: dynamical system; fully nonlinear equations; radial positive solutions; shooting method

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, a...