Peak solutions for an elliptic system of FitzHugh-Nagumo type

Author(s)
Dancer, Edward Norman
Yan, Shusen
Publication Date
2003
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.
Citation
Scuola Normale Superiore di Pisa. Annali. Classe di Scienze, v.II, p. 679-709
ISSN
2036-2145
0391-173X
Link
https://hdl.handle.net/1959.11/5390
Publisher
Scuola Normale Superiore di Pisa
Title
Peak solutions for an elliptic system of FitzHugh-Nagumo type
Type of document
Journal Article
Entity Type
Publication

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