Peak solutions for an elliptic system of FitzHugh-Nagumo type
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 2 (2003) no. 4, p. 679-709

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.

Classification:  35J50,  93C15
@article{ASNSP_2003_5_2_4_679_0,
author = {Dancer, Edward Norman and Yan, Shusen},
title = {Peak solutions for an elliptic system of FitzHugh-Nagumo type},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
publisher = {Scuola normale superiore},
volume = {Ser. 5, 2},
number = {4},
year = {2003},
pages = {679-709},
zbl = {1115.35039},
mrnumber = {2040640},
language = {en},
url = {http://www.numdam.org/item/ASNSP_2003_5_2_4_679_0}
}

Dancer, Edward Norman; Yan, Shusen. Peak solutions for an elliptic system of FitzHugh-Nagumo type. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 2 (2003) no. 4, pp. 679-709. http://www.numdam.org/item/ASNSP_2003_5_2_4_679_0/

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