Branch points for (almost-)minimizers of two-phase free boundary problems

We study the existence and structure of branch points in two-phase free boundary problems. More precisely, we construct a family of minimizers to an Alt–Caffarelli–Friedman-type functional whose free boundaries contain branch points in the strict interior of the domain. We also give an example showi...

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Bibliographic Details
Main Authors: Guy David, Max Engelstein, Mariana Smit Vega Garcia, Tatiana Toro
Format: Article
Language:English
Published: Cambridge University Press 2023-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509422001050/type/journal_article