5 papers · 1 filter
The epsilon-regularity theorem for Brakke flows near triple junctions
Salvatore Stuvard, Yoshihiro Tonegawa
We establish the -regularity theorem for -dimensional, possibly forced, Brakke flows near a static, multiplicity-one triple junction. This result provides the parab…
Area minimizing hypersurfaces modulo : a geometric free-boundary problem
Camillo De Lellis, Jonas Hirsch, Andrea Marchese +2
We consider area minimizing -dimensional currents in complete Riemannian manifolds of dimension . For odd moduli we prove that, away from a clo…
Structure of two-dimensional mod area-minimizing currents near flat singularities: the codimension one case
Anna Skorobogatova, Luca Spolaor, Salvatore Stuvard
We obtain a fine structural result for two-dimensional mod area-minimizing currents of codimension one, close to flat singularities. Precisely, we show that, locally around an…
Classical solutions to the soap film capillarity problem for plane boundaries
Giulia Bevilacqua, Salvatore Stuvard, Bozhidar Velichkov
We study the soap film capillarity problem, in which soap films are modeled as sets of least perimeter among those having prescribed (small) volume and satisfying a topological spa…
Dynamical instability of minimal surfaces at flat singular points
Salvatore Stuvard, Yoshihiro Tonegawa
Suppose that a countably -rectifiable set is the support of a multiplicity-one stationary varifold in with a point admitting a flat tangent plane o…