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...
Guardado en:
Autores principales: | , , , |
---|---|
Formato: | JOUR |
Materias: | |
Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_18648258_v11_n1_p1_Igbida |
Aporte de: |
id |
todo:paper_18648258_v11_n1_p1_Igbida |
---|---|
record_format |
dspace |
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 |
_version_ |
1782029247364202496 |