The Monge problem with vanishing gradient penalization: Vortices and asymptotic profile

Luigi De Pascale, Jean Louet, Filippo Santambrogio

We investigate the approximation of the Monge problem (minimizing \int\_$\Omega$ |T (x) -- x| d$\mu$(x) among the vector-valued maps T with prescribed image measure T \# $\mu$) by adding a…