Regularity for almost-minimizers of variable coefficient Bernoulli-type functionals

DOI10.1007/s00209-021-02719-5zbMath1478.35064arXiv1909.05043OpenAlexW3159475424MaRDI QIDQ2664674

Guy David, Max Engelstein, Tatiana Toro, Mariana Smit Vega Garcia

Publication date: 17 November 2021

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05043

zbMATH Keywords

free boundary problemalmost-minimizerAlt-Caffarelli functionalAlt-Caffarelli-Friedman

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items

Regularity of almost-minimizers of Hölder-coefficient surface energies ⋮ Liouville theorems and optimal regularity in elliptic equations ⋮ One-phase free-boundary problems with degeneracy ⋮ Variable-coefficient parabolic theory as a high-dimensional limit of elliptic theory ⋮ An overview of almost minimizers of Bernoulli-type functionals ⋮ Branch points for (almost-)minimizers of two-phase free boundary problems

Cites Work

• Regularity of Dirichlet nearly minimizing multiple-valued functions
• Existence and regularity of Faber-Krahn minimizers in a Riemannian manifold
• Free boundary regularity for almost-minimizers
• Variational problems with two phases and their free boundaries
• Almost minimizers for semilinear free boundary problems with variable coefficients
• Free boundary regularity for a multiphase shape optimization problem
• Lipschitz continuity of the eigenfunctions on optimal sets for functionals with variable coefficients
• Unnamed Item
• Unnamed Item
• Unnamed Item