On the Existence of Solutions of Certain Asymptotically Homogeneous Problems.
New solutions of equations on
Peak solutions for an elliptic system of FitzHugh-Nagumo type
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.
Page 1