Calculus of Variations and Geometric Measure Theory

F. Santambrogio

Misure Ottime per Costi di Trasporto e Funzionali Locali

created on 07 Dec 2003


Degree Thesis

Inserted: 7 dec 2003

Year: 2003

In Italian. Advisor: G.Buttazzo


By means of Monge-Kantorovich optimal transport theory and of the theory of local semicontinuous functionals defined on measures we study a variational problem arising in urban planning, giving existence results and optimality conditions. A very important role is played by duality formula in mass transportation.

Keywords: urban planning, Mass transportation, Nonconvex Functionals over Measures