Branch points for (almost-)minimizers of two-phase free boundary problems
نویسندگان
چکیده
Abstract We study the existence and structure of branch points in two-phase free boundary problems. More precisely, we construct a family minimizers to an Alt–Caffarelli–Friedman-type functional whose boundaries contain strict interior domain. also give example showing that almost-minimizers same can have very little structure. This last stands contrast with recent results De Philippis, Spolaor Velichkov on stationary solutions.
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ژورنال
عنوان ژورنال: Forum of Mathematics, Sigma
سال: 2023
ISSN: ['2050-5094']
DOI: https://doi.org/10.1017/fms.2022.105