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|Title:||Peak solutions for an elliptic system of FitzHugh-Nagumo type||Contributor(s):||Dancer, Edward Norman (author); Yan, Shusen (author)||Publication Date:||2003||Handle Link:||https://hdl.handle.net/1959.11/5390||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.||Publication Type:||Journal Article||Source of Publication:||Scuola Normale Superiore di Pisa. Annali. Classe di Scienze, v.II, p. 679-709||Publisher:||Scuola Normale Superiore di Pisa||Place of Publication:||Italy||ISSN:||0391-173X||Field of Research (FOR):||010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems||Socio-Economic Outcome Codes:||970101 Expanding Knowledge in the Mathematical Sciences||HERDC Category Description:||C1 Refereed Article in a Scholarly Journal||Other Links:||http://archive.numdam.org/ARCHIVE/ASNSP/ASNSP_2003_5_2_4/ASNSP_2003_5_2_4_679_0/ASNSP_2003_5_2_4_679_0.pdf||Statistics to Oct 2018:||Visitors: 188
|Appears in Collections:||Journal Article|
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