Published Paper
Inserted: 4 mar 2016
Last Updated: 29 may 2017
Journal: Electronic Journal of Differential Equations
Volume: 2016
Number: 119
Pages: 1-12
Year: 2016
Abstract:
In this paper we study the fractional analogue of the Allen-Cahn energy in bounded domains, and we show that it admits a number of critical points which goes to infinity as the perturbation parameter tends to zero.
Keywords: Allen-Cahn energy, fractional PDE, critical points, genus
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