Branch points for (almost-)minimizers of two-phase free boundary problems
Branch points for (almost-)minimizers of two-phase free boundary problems
Abstract 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 showing that branch points in …