American prices embedded in european prices
Benjamin Jourdain, Claude Martini (2001)
Annales de l'I.H.P. Analyse non linéaire
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Benjamin Jourdain, Claude Martini (2001)
Annales de l'I.H.P. Analyse non linéaire
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Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.