Abstract
We consider reaction–diffusion equations on closed surfaces in R3 having genus 1. Stable nonconstant stationary solutions are often called patterns. The purpose of this paper is to construct closed surfaces together with patterns having as many critical points as one wants.
Original language | English |
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Article number | 39 |
Journal | Nonlinear Differential Equations and Applications |
Volume | 27 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2020 Aug 1 |
Keywords
- Closed surface having genus 1
- Critical point
- Pattern
- Reaction–diffusion equation
- Semilinear elliptic equation
- Stable solution
- Torus
ASJC Scopus subject areas
- Analysis
- Applied Mathematics