Event description
In this talk, we study regularity of the soap film capillarity problem, that is soap films are chosen to be sets of finite perimeter containing an assigned amount of volume and satisfying a topological spanning condition. For plane boundaries, we show that these minimizers are normal smooth graphs with positive constant mean curvature and meeting orthogonally the boundary. Joint work with Salvatore Stuvard (UNIMI) and Bozhidar Velichkov (UNIPI).