Abstract
The aim of this paper is to study the existence of various types of peak solutions for an elliptic system of FitzHugh-Nagumo type. We prove that the system has a single peak solution, which concentrates near the boundary of the domain. Under some extra assumptions, we also construct multi-peak solutions with all the peaks near the boundary, and a single peak solution with its peak near an interior point of the domain.
| Original language | English |
|---|---|
| Pages (from-to) | 679-709 |
| Journal | Scuola Normale Superiore di Pisa. Annali. Classe di Scienze |
| Volume | II |
| Publication status | Published - 2003 |
Keywords
- Ordinary Differential Equations, Difference Equations and Dynamical Systems
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