29 citations · 38 across the 3 of their papers we have counts for
6 papers
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…
A multi-material transport problem with arbitrary marginals
Andrea Marchese, Annalisa Massaccesi, Salvatore Stuvard +1
In this paper we study general transportation problems in , in which different goods are moved simultaneously. The initial and final positions of the goods are pr…
A multi-material transport problem and its convex relaxation via rectifiable -currents
Andrea Marchese, Annalisa Massaccesi, Riccardo Tione
In this paper we study a variant of the branched transportation problem, that we call multi-material transport problem. This is a transportation problem, where distinct commodities…
Is a nonlocal diffusion strategy convenient for biological populations in competition?
Annalisa Massaccesi, Enrico Valdinoci
We study the convenience of a nonlocal dispersal strategy in a reaction-diffusion system with a fractional Laplacian operator. We show that there are circumstances - namely, a prec…
The Steiner tree problem revisited through rectifiable G-currents
Andrea Marchese, Annalisa Massaccesi
The Steiner tree problem can be stated in terms of finding a connected set of minimal length containing a given set of finitely many points. We show how to formulate it as a mass-m…
An optimal irrigation network with infinitely many branching points
Andrea Marchese, Annalisa Massaccesi
The Gilbert-Steiner problem is a mass transportation problem, where the cost of the transportation depends on the network used to move the mass and it is proportional to a certain…