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Multipeak solutions for an elliptic system of Fitzhugh-Nagumo type

✍ Scribed by E.N. Dancer; Shusen Yan

Publisher
Springer
Year
2006
Tongue
English
Weight
338 KB
Volume
335
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES

Solutions with internal jump for an auto
Solutions with internal jump for an autonomous elliptic system of FitzHugh–Nagumo type
✍ Carolus Reinecke; Guido Sweers πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 891 KB

## Abstract Systems of elliptic partial differential equations which are coupled in a noncooperative way, such as the FitzHugh–Nagumo type studied in this paper, in general do not satisfy order preserving properties. This not only results in technical complications but also yields a richer solution

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In this Note we study the semilinear elliptic system (PA) on a bounded domain, where X, 6, y > 0 and f has two consecutive zeroes, for example f(u) = U(U -a)(1 -U) with 0 < a < l/2. The existence, for X large, of a positive solution with boundary layer behavior as well as uniqueness of this solution