Inserted: 7 dec 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