Geodesic
Critical points for reaction-diffusion system with one and two unilateral conditions
Archivum mathematicum, Tome 59 (2023) no. 2, pp. 173-180

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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.
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.
DOI : 10.5817/AM2023-2-173
Classification : 34B15, 35B36, 92C15
Keywords: reaction-diffusion system; critical points; unilateral conditions 
Eisner, Jan; Žilavý, Jan. Critical points for reaction-diffusion system with one and two unilateral conditions. Archivum mathematicum, Tome 59 (2023) no. 2, pp. 173-180. doi: 10.5817/AM2023-2-173
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