68 citations · 321 across the 52 of their papers we have counts for
4 papers · 2 filters
A Mass Transportation Model for the Optimal Planning of an Urban Region
Giuseppe Buttazzo, Filippo Santambrogio
We propose a model to describe the optimal distributions of residents and services in a prescribed urban area. The cost functional takes into account the transportation costs (acco…
Asymptotic optimal location of facilities in a competition between population and industries
Giuseppe Buttazzo, Filippo Santambrogio, Eugene Stepanov
We consider the problem of optimally locating a given number of points in for an integral cost function which takes into account two measures and . T…
Full characterization of optimal transport plans for concave costs
Paul Pegon, Davide Piazzoli, Filippo Santambrogio
This paper slightly improves a classical result by Gangbo and McCann (1996) about the structure of optimal transport plans for costs that are concave functions of the Euclidean dis…
A Dacorogna-Moser approach to flow decomposition and minimal flow problems
Filippo Santambrogio
The papers describes an easy approach, based on a classical construction by Dacorogna and Moser, to prove that optimal vector fields in some minimal flow problem linked to optimal…