Inserted: 12 oct 2017
Journal: SIAM J. Control Optim.
Links: paper at the journal web site
We show that the optimal regularity result for the transport density in the classical Monge-Kantorovich optimal mass transport problem, with the measures having summable densities, is a Sobolev differentiability along transport rays.
Keywords: regularity, Transport density, Monge–Kantorovich transport problem