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The entropic regularization of the Monge problem on the real line

Simone Di Marino , Jean Louet
SIAM Journal on Mathematical Analysis, In press, 50 (4), pp.3451 - 3477. ⟨10.1137/17M1123523⟩
Article dans une revue hal-01498732v4
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Some results on Sobolev spaces with respect to a measure and applications to a new transport problem

Jean Louet
Journal of Mathematical Sciences, 2014, 196 (2), pp.152 - 164. ⟨10.1007/s10958-013-1647-4⟩
Article dans une revue hal-01419566v1
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A study of the dual problem of the one-dimensional L-infinity optimal transport problem with applications

Luigi de Pascale , Jean Louet
2017
Pré-publication, Document de travail hal-01504249v2
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The Monge problem with vanishing gradient penalization: Vortices and asymptotic profile

Luigi de Pascale , Jean Louet , Filippo Santambrogio
Journal de Mathématiques Pures et Appliquées, 2016, 106, pp.237 - 279. ⟨10.1016/j.matpur.2016.02.009⟩
Article dans une revue hal-01052294v2
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On the continuity of the total cost in the mass transport problem with relativistic cost functions

Jean Louet , Aldo Pratelli , Florian Zeisler
2016
Pré-publication, Document de travail hal-01419526v1
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A sharp inequality for transport maps in W^{1,p}(R) via approximation

Jean Louet , Filippo Santambrogio
Applied Mathematics Letters, 2011, 25 (3), pp.648-653
Article dans une revue hal-00628050v1