A Mass Transportation Model for the Optimal Planning of an Urban Region

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 (according to a Monge-Kantorovich-type criterion) and two additional terms which penalize concentration of residents and dispersion of services. The tools we use are the Monge-Kantorovich mass transportation theory and the theory of nonconvex functionals defined on measures.

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