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

被引：13
|
作者：
Dancer, EN [1 ]
Yan, SS
机构：
[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
[2] Univ New England, Sch Math Stat & Comp Sci, Armidale, NSW 2351, Australia
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2006年 / 55卷 / 01期
关键词：
nonlinear boundary value problems; small diffusion;
D O I：
10.1512/iumj.2006.55.2614
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：217 / 258
页数：42
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