Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium

Published 9 May 2015 in math.AP | (1505.02304v2)

Abstract: 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.

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