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.
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页码：1 / 18
页数：18
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