26 citations · 130 across the 22 of their papers we have counts for
4 papers · 2 filters
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…
Area minimizing currents mod : linear regularity theory
Camillo De Lellis, Jonas Hirsch, Andrea Marchese +1
We establish a theory of -valued functions minimizing a suitable generalization of the Dirichlet integral. In a second paper the theory will be used to approximate efficiently a…
Plateau's problem as a singular limit of capillarity problems
Darren King, Francesco Maggi, Salvatore Stuvard
Soap films at equilibrium are modeled, rather than as surfaces, as regions of small total volume through the introduction of a capillarity problem with a homotopic spanning conditi…