4 citations · 4 across the 1 of their papers we have counts for
4 papers
Fine structure of the singular set of area minimizing hypersurfaces modulo
Camillo De Lellis, Jonas Hirsch, Andrea Marchese +2
Consider an area minimizing current modulo of dimension in a smooth Riemannian manifold of dimension . We prove that its interior singular set is, up to a relatively c…
An existence theorem for Brakke flow with fixed boundary conditions
Salvatore Stuvard, Yoshihiro Tonegawa
Consider an arbitrary closed, countably -rectifiable set in a strictly convex -dimensional domain, and suppose that the set has finite -dimensional Hausdorff measure a…
Regularity of area minimizing currents mod
Camillo De Lellis, Jonas Hirsch, Andrea Marchese +1
We establish a first general partial regularity theorem for area minimizing currents , for every , in any dimension and codimension. More precisely, we prove th…
Soap films with gravity and almost-minimal surfaces
Francesco Maggi, Antonello Scardicchio, Salvatore Stuvard
Motivated by the study of the equilibrium equations for a soap film hanging from a wire frame, we prove a compactness theorem for surfaces with asymptotically vanishing mean curvat…