Geodesic
Peak solutions for an elliptic system of FitzHugh-Nagumo type
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 2 (2003) no. 4, pp. 679-709 Cet article a éte moissonné depuis la source Numdam

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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 
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     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},
     pages = {679--709},
     year = {2003},
     publisher = {Scuola normale superiore},
     volume = {Ser. 5, 2},
     number = {4},
     mrnumber = {2040640},
     zbl = {1115.35039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2003_5_2_4_679_0/}
}
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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, Série 5, Tome 2 (2003) no. 4, pp. 679-709. http://geodesic.mathdoc.fr/item/ASNSP_2003_5_2_4_679_0/