Regularity of the free boundary for two-phase problems governed by divergence form equations and applications

DOI10.1016/j.na.2015.11.013zbMath1339.35346arXiv1509.02571OpenAlexW2118909225MaRDI QIDQ272728

Sandro Salsa, Daniela De Silva, Fausto Ferrari

Publication date: 20 April 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02571

zbMATH Keywords

free boundaryviscosity solutionsPerron solutionPrandtl-Batchelorregularity, elliptic equations

Mathematics Subject Classification ID

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

Related Items (8)

Up to the boundary gradient estimates for viscosity solutions to nonlinear free boundary problems with unbounded measurable ingredients ⋮ A free boundary problem on three-dimensional cones ⋮ Free boundary theory for singular/degenerate nonlinear equations with right hand side: a non-variational approach ⋮ Two-phase free boundary problems: from existence to smoothness ⋮ Free boundary theory for non-homogeneous fully non-linear equations with unbounded ingredients and quadratic growth in the gradient ⋮ Boundary regularity for the free boundary in the one-phase problem ⋮ Minimizers of a free boundary problem on three-dimensional cones ⋮ Perron's solutions for two-phase free boundary problems with distributed sources

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