Calculus of Variations and Geometric Measure Theory

D. Pagliardini

Minimizers for a fractional Allen-Cahn equation in a periodic medium

created by pagliardini on 25 Sep 2017
modified on 09 Oct 2017


Submitted Paper

Inserted: 25 sep 2017
Last Updated: 9 oct 2017

Pages: 24
Year: 2017

ArXiv: 1710.02205 PDF


We aim to study the solutions of a fractional mesoscopic model of phase transitions in a periodic medium. After investigating the geometric properties of the interface of the associated minimal solutions, we construct minimal interfaces lying to a strip of prescribed direction and universal width.