Almost minimizers of the one-phase free boundary problem

DOI10.1080/03605302.2020.1743718zbMath1452.35006arXiv1901.02007OpenAlexW3016974466MaRDI QIDQ5131840

Daniela De Silva, Ovidiu V. Savin

Publication date: 9 November 2020

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.02007

zbMATH Keywords

regularity theoryone-phase energy functionaloptimal Lipschitz regularity of the free boundarypartial regularity of the free boundary

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational methods applied to PDEs (35A15) A priori estimates in context of PDEs (35B45) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20) Viscosity solutions to PDEs (35D40)

Related Items (6)

Almost minimizers for a singular system with free boundary ⋮ Almost minimizers to a transmission problem for \((p, q)\)-Laplacian ⋮ An overview of almost minimizers of Bernoulli-type functionals ⋮ Nondegeneracy for stable solutions to the one-phase free boundary problem ⋮ Regularity of shape optimizers for some spectral fractional problems ⋮ Almost minimizers for the thin obstacle problem

Cites Work

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• Regularity of almost minimizers with free boundary
• Some remarks on stability of cones for the one-phase free boundary problem
• Regularity of Lipschitz free boundaries for the thin one-phase problem
• Free boundary regularity for a problem with right hand side
• A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
• Partial regularity for a minimum problem with free boundary
• Thin one-phase almost minimizers
• Recent progresses on elliptic two-phase free boundary problems
• Free boundary regularity for almost-minimizers
• A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
• Boundaries of Caccioppoli sets with Hölder-continuois normal vector.
• Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
• Global energy minimizers for free boundary problems and full regularity in three dimensions

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