CRITICAL POINTS FOR REACTION-DIFFUSION SYSTEM WITH ONE AND TWO UNILATERAL CONDITIONS

被引：0

作者：

Eisner, Jan ^{[1
]}

Zilavy, Jan ^{[1
]}

机构：

[1] Univ South Bohemia, Dept Math, Fac Sci, Branisovska 1760, Ceske Budejovice 37005, Czech Republic

来源：

ARCHIVUM MATHEMATICUM | 2023年 / 59卷 / 02期

关键词：

reaction-diffusion system; critical points; unilateral conditions; BIFURCATION;

D O I：

10.5817/AM2023-2-173

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show the location of so called critical points, i.e., couples of diffusion coefficients for which a non-trivial solution of a linear reaction-diffusion system of activator-inhibitor type on an interval with Neumann boundary conditions and with additional non-linear unilateral condition at one or two points on the boundary and/or in the interior exists. Simultaneously, we show the profile of such solutions.

引用

页码：173 / 180

页数：8

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