Title: Solutions with interior and boundary peaks for the Neumann problem of an elliptic system of FitzHugh-Nagumo type

Authors: E. N. Dancer and Shusen Yan

Issue: Volume 55 (2006), Issue 1, 217-258

Abstract: We study the existence of peak solutions for the Neumann problem of an elliptic system of FitzHugh-Nagumo type. The solutions we construct have arbitrary many peaks on the boundary and arbitrary many peaks inside the domain, and all the peaks of the solutions approach some local minimum points of the mean curvature function of the boundary.