Peak solutions for an elliptic system of FitzHugh-Nagumo type

• Edward Norman Dancer ^[1] ; Shusen Yan ^[1]
  1. [1] University of Sydney

     University of Sydney

     Australia

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 2, Nº 4, 2003, págs. 679-709
• Idioma: inglés
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• Resumen

  • 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.