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.
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页码：173 / 180
页数：8
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