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arXiv · 2107.05480

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

Liliane Maia·Gabrielle Nornberg
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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.

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Liliane Maia, Gabrielle Nornberg. 2021-11-24. Radial solutions for Hénon type fully nonlinear equations in annuli and exterior domains. https://arxiv.org/abs/2107.05480

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