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

被引：3

作者：

Maia, Liliane ^{[1
]}

Nornberg, Gabrielle ^{[2
]}

机构：

[1] Univ Brasilia, Dept Matemat, Campus Univ Darcy Ribeiro, BR-70910900 Brasilia, DF, Brazil

[2] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP, Brazil

来源：

MATHEMATICS IN ENGINEERING | 2022年 / 4卷 / 06期

基金：

巴西圣保罗研究基金会;

关键词：

fully nonlinear equations; radial positive solutions; dynamical system; shooting method; ELLIPTIC-EQUATIONS; EIGENVALUES; EXISTENCE;

D O I：

10.3934/mine.2022055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 Henon 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.

引用

页码：1 / 18

页数：18

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