Multiplicity of critical points for the fractional Allen-Cahn energy

Multiplicity of critical points for the fractional Allen-Cahn energy

In this article we study the fractional analogue of the Allen-Cahn energy in bounded domains. We show that it admits a number of critical points which approaches infinity as the perturbation parameter tends to zero.

Bibliographic Details
Main Author: Dayana Pagliardini
Format: Article
Language:English
Published: Texas State University 2016-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Allen-Cahn energy
fractional PDE
critical point
genus
Online Access:http://ejde.math.txstate.edu/Volumes/2016/119/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2016/119/abstr.html

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