Full and partial regularity for a class of nonlinear free boundary problems

DOI10.1016/j.anihpc.2020.09.008zbMath1465.35089arXiv1811.07620OpenAlexW3090531628MaRDI QIDQ2028621

Aram L. Karakhanyan

Publication date: 1 June 2021

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.07620

zbMATH Keywords

free boundary conditionsfree boundaryregularity theorymonotonicity formula

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Quasilinear elliptic equations (35J62)

Cites Work

• Some remarks on stability of cones for the one-phase free boundary problem
• Elliptic partial differential equations of second order
• Stratification of free boundary points for a two-phase variational problem
• The mean curvature measure
• Full regularity of the free boundary in a Bernoulli-type problem in two dimensions
• On the first variation of a varifold
• The mean curvature of a Lipschitz continuous manifold
• A singular energy minimizing free boundary
• Partial regularity for weak solutions of an elliptic free boundary problem
• Regularity of Lipschitz free boundaries in two-phase problems for fully nonlinear elliptic equations
• Global energy minimizers for free boundary problems and full regularity in three dimensions
• Curvature-Driven Flows: A Variational Approach
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