Regularity for quasi-minima of the Alt-Caffarelli functional

DOI10.1007/s00526-024-02773-xzbMATH Open1542.35102MaRDI QIDQ6564423

Daniel Pellegrino, Eduardo V. Teixeira

Publication date: 1 July 2024

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

optimal Lipchitz regularityuniversal Hölder continuity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35)

Cites Work

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• Cavity problems in discontinuous media
• Regularity of almost minimizers with free boundary
• Interior a priori estimates for solutions of fully nonlinear equations
• Quasi-minima
• On the regularity of the minima of variational integrals
• A minimum problem with free boundary for a degenerate quasilinear operator
• The nonlinear optimization problem in heat conduction
• Free boundary regularity for almost-minimizers
• Optimal design problems in rough inhomogeneous media. Existence theory
• An Optimization Problem with Volume Constraint
• Variational problems with two phases and their free boundaries
• Almost minimizers of the one-phase free boundary problem
• Quasi-Harnack inequality

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