Peak solutions for an elliptic system of FitzHugh-Nagumo type

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Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 2 (4):679-709 (2003)
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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

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Locating the boundary peaks of least-energy solutions to a singularly perturbed Dirichlet problem.Teresa D'Aprile & Juncheng Wei - 2006 - Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 5 (2):219-259.

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