Regularity for nonisotropic two-phase problems with Lipschitz free boundaries
type: Item
instance of: scholarly article
title: Regularity for nonisotropic two-phase problems with Lipschitz free boundaries
zbMATH Open document ID: 0940.35047
author: Mikhail Feldman
published in: Differential and Integral Equations
publication date: 2000-05-22T00:00:00Z
review text: A two-phase free boundary value problem is studied in which the positive and negative parts of the solution satisfy two different elliptic equations. It is shown that if the free boundary (between both parts) is locally Lipschitz, then it is \(C^{1,\alpha}\) smooth. This extends a result of \textit{L. A. Caffarelli} [Rev. Mat. Iberoam. 3, 139-162 (1987; Zbl 0676.35085)] where the positive and negative parts satisfy the same equation.
Mathematics Subject Classification ID: 35D10
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35R05
Mathematics Subject Classification ID: 35J15
zbMATH DE Number: 1450176
zbMATH Keywords: regularity of the boundary
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1450176