Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium
Matteo Cozzi, Enrico Valdinoci · Journal de l’École polytechnique — Mathématiques · 2017
We consider a non-local phase transition equation set in a periodic medium and we construct solutions whose interface stays in a slab of prescribed direction and universal width. The solutions constructed also enjoy a local minimality property with respect to a suitable non-local energy functional.