Large scale regularity of almost minimizers of the one-phase problem in periodic media

2023/03/27 by William M. Feldman, Feldman, William M.
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Elliptic regularity #Free boundary problems #Homogenization #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.AP (Mathematics - Analysis of PDEs)

paper · doi:10.15781/52x3-ja93

openalex created_date 2023/05/03 · openalex publication_date 2024/08/26 · openalex updated_date 2026/07/15

Abstract

Read article We prove that minimizers and almost minimizers of one-phase free boundary energy functionals in periodic media satisfy large scale (1) Lipschitz estimates (2) free boundary flat implies Lipschitz estimates. The proofs are based on techniques introduced by De Silva and Savin for almost minimizers in homogeneous media. https://doi.org/10.15781/52x3-ja93

Related

• Regularity of two-phase free boundary minimizers in periodic media
• Almost minimizers of the one-phase free boundary problem
• Thin One-Phase almost minimizers
• Lipschitz regularity of almost minimizers in one-phase problems driven by the p-Laplace operator
• Regularity of Lipschitz free boundaries for the thin one-phase problem