J. Louet, F. Santambrogio:
A sharp inequality for transport maps in $W^{1,p}(\mathbb{R})$ via approximation
Applied Math Letters Vol. 25, N. 3, p. 648-653, 2012
J. Louet:
Some results on Sobolev spaces with respect to a measure and applications to a new transport problem
Journal of Mathematical Sciences Vol. 196, N. 2, p. 152-164, 2014
J. Louet:
Optimal transport problems with gradient penalization
(Phd Thesis) 2014
L. De Pascale, J. Louet, F. Santambrogio:
The Monge problem with vanishing gradient penalization: vortices and asymptotic profile
J. Math. Pures Appl. Vol. 106, N. 2, p. 237-279, 2016
J. Louet, A. Pratelli, F. Zeisler:
On the continuity of the total cost in the mass transport problem with relativistic cost functions
(Submitted Paper) 2016
L. De Pascale, J. Louet:
A study of the dual problem of the one-dimensional $L^\infty$-optimal transport problem with applications
(Submitted Paper) 2017
S. Di Marino, J. Louet:
The entropic regularization of the Monge problem on the real line
SIAM J. Math. Anal. (Accepted Paper) 2018