From branching singularities in minimal surfaces to non-smoothness points in ice-water interfaces
Joaquim Serra · EMS Press eBooks · 2023
We review some recent developments on the regularity theory of two classical free boundary problems: the obstacle problem and Stefan’s problem. We emphasize the similarities and differences between these recent results (for the obstacle problem and Stefan’s problem) and the regularity theory of integer rectifiable area-minimizing currents (and related problems) developed during the XXth century.