A variational approach for standing waves of Fitzhugh-Nagumo type systems. (English) Zbl 1292.35117
This paper establishes the existence of radially symmetric entire solutions for a class of Fitzhugh-Nagumo systems. The authors are concerned with solutions decaying to zero at infinity, and the study is developed by studying the qualitative properties of the associated energy functional. The proof combines minimax arguments with a truncation technique. In such a way the authors obtain both positive and nodal solutions.
Reviewer: Vicenţiu D. Rădulescu (Craiova)
MSC:
| 35J47 | Second-order elliptic systems |
| 35J50 | Variational methods for elliptic systems |
| 35B08 | Entire solutions to PDEs |
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