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In this paper we extend the duality theory of the multi-marginal optimal transport problem for cost functions depending on a decreasing function of the distance (not necessarily bounded). This class of cost functions appears in the context of SCE Density Functional Theory introduced in Strong-interaction limit of density-functional theory by Seidl [Phys. Rev. A 60 (1999) 4387].
Gerolin, Augusto 1 ; Kausamo, Anna 1 ; Rajala, Tapio 1
@article{COCV_2019__25__A62_0,
author = {Gerolin, Augusto and Kausamo, Anna and Rajala, Tapio},
title = {Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
publisher = {EDP-Sciences},
volume = {25},
year = {2019},
doi = {10.1051/cocv/2018062},
zbl = {1439.49059},
mrnumber = {4023129},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2018062/}
}
TY - JOUR AU - Gerolin, Augusto AU - Kausamo, Anna AU - Rajala, Tapio TI - Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2019 VL - 25 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv/2018062/ DO - 10.1051/cocv/2018062 LA - en ID - COCV_2019__25__A62_0 ER -
%0 Journal Article %A Gerolin, Augusto %A Kausamo, Anna %A Rajala, Tapio %T Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces %J ESAIM: Control, Optimisation and Calculus of Variations %D 2019 %V 25 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv/2018062/ %R 10.1051/cocv/2018062 %G en %F COCV_2019__25__A62_0
Gerolin, Augusto; Kausamo, Anna; Rajala, Tapio. Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces. ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 62. doi : 10.1051/cocv/2018062. http://geodesic.mathdoc.fr/articles/10.1051/cocv/2018062/
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