Inserted: 31 mar 2017
Last Updated: 31 mar 2017
paper still to be submitted, any comment is welcome
We consider minimization problems for curves of measure, with kinetic and potential energy and a congestion penalization, as in the functionals that appear in Mean Field Games with a variational structures. We prove $L^\infty$ regularity results for the optimal density via time-discretization arguments, displacement convexity, and suitable Moser iterations.