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

Matteo Cozzi,Enrico Valdinoci

doi:10.5802/jep.45

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

Matteo Cozzi, Enrico Valdinoci

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https://doi.org/10.5802/jep.45

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Journal: Journal de l’École polytechnique — Mathématiques	Publication Date: Mar 13, 2017
Citations: 10	License type: cc-by

Affiliation: Universitat Politècnica de Catalunya, University of Melbourne, University of Milan

#Periodic Medium #Non-local Set + Show 8 more

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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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