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

2021/07/12 by Liliane A. Maia, Maia, Liliane, Gabrielle Nornberg +1
Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2107.05480

openalex publication_date 2021/07/12 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

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.

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