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Research Article | Open Access

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

Liliane Maia1( ), Gabrielle Nornberg2
Departamento de Matemática, Universidade de Brasília, Campus Universitário Darcy Ribeiro, Asa Norte, 70910900 - Brasília, DF, Brazil
Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Avenida Trabalhador São-carlense, 400, Centro, 13566590 - São Carlos, SP, Brazil
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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 equationsradial positive solutionsdynamical systemshooting method

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Mathematics in Engineering
Volume 4 Issue 6,
December 2022
Pages 1-18
DOI: 10.3934/mine.2022055

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Cite this article:
Maia L, Nornberg G. Radial solutions for Hénon type fully nonlinear equations in annuli and exterior domains. Mathematics in Engineering, 2022, 4(6): 1-18. https://doi.org/10.3934/mine.2022055

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Received: 12 July 2021
Accepted: 23 November 2021
Published: 15 December 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)