环空和外域hsamnon型全非线性方程的径向解

IF 1.4 4区工程技术 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematics in Engineering Pub Date : 2021-07-12 DOI:10.3934/mine.2022055

L. Maia, Gabrielle Nornberg

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引用次数: 2

摘要

在本文中，我们研究了一类受Hénon型权约束的Pucci极值算子驱动的非线性方程在环域和外域中径向正解的存在性。我们的方法基于应用于相应ODE问题的射击方法、能量自变量和自治二次动力系统的关联流。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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, and the associated flow of an autonomous quadratic dynamical system.

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来源期刊

Mathematics in Engineering MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

2.20

自引率

0.00%

发文量

审稿时长

12 weeks