Abstract:
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.
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Documento: |
Artículo
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Título: | Optimal mass transportation for costs given by Finsler distances via p-Laplacian approximations |
Autor: | Igbida, N.; Mazón, J.M.; Rossi, J.D.; Toledo, J. |
Filiación: | Institut de recherche, XLIM-DMI, UMR-CNRS 6172, Université de Limoges, France Departament d'Anàlisi Matemàtica, Universitat de València, Valencia, Spain Dpto. de Matemática, FCEyN, UBA, Ciudad Universitaria - Pab 1, Buenos Aires, 1428), Argentina
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Palabras clave: | Finsler metric p-Laplacian equation; Mass transport; Monge-Kantorovich problems |
Año: | 2018
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Volumen: | 11
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Número: | 1
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Página de inicio: | 1
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Página de fin: | 28
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DOI: |
http://dx.doi.org/10.1515/acv-2015-0052 |
Título revista: | Advances in Calculus of Variations
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Título revista abreviado: | Adv. Calc. Var.
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ISSN: | 18648258
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_18648258_v11_n1_p1_Igbida |
Referencias:
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Citas:
---------- APA ----------
Igbida, N., Mazón, J.M., Rossi, J.D. & Toledo, J.
(2018)
. Optimal mass transportation for costs given by Finsler distances via p-Laplacian approximations. Advances in Calculus of Variations, 11(1), 1-28.
http://dx.doi.org/10.1515/acv-2015-0052---------- CHICAGO ----------
Igbida, N., Mazón, J.M., Rossi, J.D., Toledo, J.
"Optimal mass transportation for costs given by Finsler distances via p-Laplacian approximations"
. Advances in Calculus of Variations 11, no. 1
(2018) : 1-28.
http://dx.doi.org/10.1515/acv-2015-0052---------- MLA ----------
Igbida, N., Mazón, J.M., Rossi, J.D., Toledo, J.
"Optimal mass transportation for costs given by Finsler distances via p-Laplacian approximations"
. Advances in Calculus of Variations, vol. 11, no. 1, 2018, pp. 1-28.
http://dx.doi.org/10.1515/acv-2015-0052---------- VANCOUVER ----------
Igbida, N., Mazón, J.M., Rossi, J.D., Toledo, J. Optimal mass transportation for costs given by Finsler distances via p-Laplacian approximations. Adv. Calc. Var. 2018;11(1):1-28.
http://dx.doi.org/10.1515/acv-2015-0052