3 papers
math.AP2025
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…
math.AP2025
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…
math.AP2025
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…