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

Matteo Cozzi, Enrico Valdinoci

Research output: Contribution to journalArticle

7 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)337-388
Number of pages52
JournalJournal de l'Ecole Polytechnique - Mathematiques
Volume4
DOIs
Publication statusPublished - 2017
Externally publishedYes

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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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JO - Journal de l'Ecole Polytechnique - Mathematiques

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SN - 2429-7100

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