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

2024/04/02 by Luca Esposito, Lorenzo Lamberti, Esposito, Luca +3 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Nonlinear Partial Differential Equations #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2404.02086

openalex publication_date 2024/04/02 · openalex created_date 2024/04/05 · openalex updated_date 2026/07/28

Abstract

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 Hölder continuous with respect to the position variable.

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