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.
Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium / M. Cozzi, E. Valdinoci. - In: JOURNAL DE L'ÉCOLE POLYTECHNIQUE. MATHÉMATIQUES. - ISSN 2429-7100. - 4(2017), pp. 337-388. [10.5802/jep.45]
Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium
M. Cozzi;E. Valdinoci
2017
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.File in questo prodotto:
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