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

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...

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Bibliographic Details
Published inMathematics in engineering Vol. 4; no. 6; pp. 1 - 18
Main Authors Maia, Liliane, Nornberg, Gabrielle
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
dynamical system
fully nonlinear equations
radial positive solutions
shooting method
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Summary: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.
ISSN:2640-3501
2640-3501
DOI:10.3934/mine.2022055