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Subjects
35-XX Partial differential equations
35Jxx Elliptic equations and systems
35J50 Variational methods for elliptic systems

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Partial regularity for minimizers of variational integrals with discontinuous integrands

Christoph Hamburger (1996)

Annales de l'I.H.P. Analyse non linéaire

Peak solutions for an elliptic system of FitzHugh-Nagumo type

Edward Norman Dancer, Shusen Yan (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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.

Currently displaying 1 – 2 of 2

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