Stability results for a reaction-diffusion problem with mixed boundary conditions and applications to some symmetric cases

被引：4

作者：

Sonego, Maicon ^{[1
]}

机构：

[1] Univ Fed Itajuba, Inst Matemat & Computacao, BR-37500903 Itajuba, MG, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 466卷 / 02期

关键词：

Stability; Symmetric solutions; Mixed boundary conditions; Dirichlet boundary conditions; RIEMANNIAN-MANIFOLDS; STABLE EQUILIBRIA; PARABOLIC EQUATION; VARIABLE DIFFUSION; PATTERNS; REVOLUTION; EXISTENCE; SURFACES; SYSTEMS;

D O I：

10.1016/j.jmaa.2018.06.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we consider a one-dimensional reaction-diffusion problem with mixed boundary conditions. We provide conditions for the existence or nonexistence of stable nonconstant solutions whose derivative vanishes at some point. As an application, we obtain similar results for problems with Dirichlet boundary conditions posed in some symmetric domains: an n-dimensional ball, surfaces of revolution, and model manifolds. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1190 / 1210

页数：21

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