Optimal mass transportation for costs given by Finsler distances via p-Laplacian approximations

In this paper we approximate a Kantorovich potential and a transport density for the mass transport problem of two measures (with the transport cost given by a Finsler distance), by taking limits, as p goes to infinity, to a family of variational problems of p-Laplacian type. We characterize the Eul...

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Autores principales: Igbida, N., Mazón, J.M., Rossi, J.D., Toledo, J.
Formato: JOUR
Materias:
Finsler metric p-Laplacian equation
Mass transport
Monge-Kantorovich problems
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_18648258_v11_n1_p1_Igbida
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_18648258_v11_n1_p1_Igbida2023-10-03T16:33:32Z Optimal mass transportation for costs given by Finsler distances via p-Laplacian approximations Igbida, N. Mazón, J.M. Rossi, J.D. Toledo, J. Finsler metric p-Laplacian equation Mass transport Monge-Kantorovich problems In this paper we approximate a Kantorovich potential and a transport density for the mass transport problem of two measures (with the transport cost given by a Finsler distance), by taking limits, as p goes to infinity, to a family of variational problems of p-Laplacian type. We characterize the Euler-Lagrange equation associated to the variational Kantorovich problem. We also obtain different characterizations of the Kantorovich potentials and a Benamou-Brenier formula for the transport problem. © 2017 Walter de Gruyter GmbH. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_18648258_v11_n1_p1_Igbida
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Finsler metric p-Laplacian equation
Mass transport
Monge-Kantorovich problems
spellingShingle Finsler metric p-Laplacian equation
Mass transport
Monge-Kantorovich problems
Igbida, N.
Mazón, J.M.
Rossi, J.D.
Toledo, J.
Optimal mass transportation for costs given by Finsler distances via p-Laplacian approximations
topic_facet Finsler metric p-Laplacian equation
Mass transport
Monge-Kantorovich problems
description In this paper we approximate a Kantorovich potential and a transport density for the mass transport problem of two measures (with the transport cost given by a Finsler distance), by taking limits, as p goes to infinity, to a family of variational problems of p-Laplacian type. We characterize the Euler-Lagrange equation associated to the variational Kantorovich problem. We also obtain different characterizations of the Kantorovich potentials and a Benamou-Brenier formula for the transport problem. © 2017 Walter de Gruyter GmbH.
format JOUR
author Igbida, N.
Mazón, J.M.
Rossi, J.D.
Toledo, J.
author_facet Igbida, N.
Mazón, J.M.
Rossi, J.D.
Toledo, J.
author_sort Igbida, N.
title Optimal mass transportation for costs given by Finsler distances via p-Laplacian approximations
title_short Optimal mass transportation for costs given by Finsler distances via p-Laplacian approximations
title_full Optimal mass transportation for costs given by Finsler distances via p-Laplacian approximations
title_fullStr Optimal mass transportation for costs given by Finsler distances via p-Laplacian approximations
title_full_unstemmed Optimal mass transportation for costs given by Finsler distances via p-Laplacian approximations
title_sort optimal mass transportation for costs given by finsler distances via p-laplacian approximations
url http://hdl.handle.net/20.500.12110/paper_18648258_v11_n1_p1_Igbida
work_keys_str_mv AT igbidan optimalmasstransportationforcostsgivenbyfinslerdistancesviaplaplacianapproximations
AT mazonjm optimalmasstransportationforcostsgivenbyfinslerdistancesviaplaplacianapproximations
AT rossijd optimalmasstransportationforcostsgivenbyfinslerdistancesviaplaplacianapproximations
AT toledoj optimalmasstransportationforcostsgivenbyfinslerdistancesviaplaplacianapproximations
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