4 citations · 6 across the 4 of their papers we have counts for
7 papers · 1 filter
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…
Stability of optimal traffic plans in the irrigation problem
Maria Colombo, Antonio de Rosa, Andrea Marchese +2
We prove the stability of optimal traffic plans in branched transport. In particular, we show that any limit of optimal traffic plans is optimal as well. This is the Lagrangian cou…
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…
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…
Stability for the mailing problem
Maria Colombo, Antonio De Rosa, Andrea Marchese
We prove that optimal traffic plans for the mailing problem in are stable with respect to variations of the given coupling, above the critical exponent , th…