Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Cozzi, MatteoValdinoci, Enrico2019-06-2820152198-5855https://doi.org/10.34657/2985https://oa.tib.eu/renate/handle/123456789/3299We 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.application/pdfeng510Non-local energiesphase transitionsplane-like minimizersfractional LaplacianReport