29 citations · 109 across the 27 of their papers we have counts for
4 papers · 2 filters
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…
On the well-posedness of branched transportation
Maria Colombo, Antonio De Rosa, Andrea Marchese
We show in full generality the stability of optimal traffic paths in branched transport: namely we prove that any limit of optimal traffic paths is optimal as well. This solves an…
The oriented mailing problem and its convex relaxation
Marcello Carioni, Andrea Marchese, Annalisa Massaccesi +2
In this note we introduce a new model for the mailing problem in branched transportation in order to allow the cost functional to take into account the orientation of the moving pa…