Regularity results for almost-minimizers of anisotropic free interface problem with Hölder dependence on the position

We establish regularity results for almost-minimizers of a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type. The surface energy exhibits anisotropic behaviour and is defined by means of an ellipsoidal density that is H\"older continu...

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Bibliographic Details
Published in:arXiv.org 2024-04
Main Authors: Esposito, Luca, Lamberti, Lorenzo, Pisante, Giovanni
Format: Article
Language:English
Subjects:
Dirichlet problem
Regularity
Surface energy
Online Access:Get full text
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Summary:We establish regularity results for almost-minimizers of a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type. The surface energy exhibits anisotropic behaviour and is defined by means of an ellipsoidal density that is H\"older continuous with respect to the position variable.
ISSN:2331-8422