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Abstract:

In this paper we deal with an optimal matching problem, that is, we want to transport two commodities (modeled by two measures that encode the spacial distribution of each commodity) to a given location, where they will match, minimizing the total transport cost that in our case is given by the sum of the two different Finsler distances that the two measures are transported. We perform a method to approximate the matching measure and the pair of Kantorovich potentials associated with this problem taking limit as p → ∞ in a variational system of p-Laplacian type.

Registro:

Documento: Artículo
Título:Optimal matching problems with costs given by Finsler distances
Autor:Mazón, J.M.; Rossi, J.D.; Toledo, J.
Filiación:Departament d'Anàlisi Matemàtica, U. de València, Valencia, Spain
Departamento de Análisis Matemático, U. de Alicante, Alicante, Spain
Departamento de Matemática, FCEyN, U. de Buenos Aires, Buenos Aires, Argentina
Palabras clave:MongeKantorovichs mass transport theory; Optimal matching problem; pLaplacian systems
Año:2015
Volumen:14
Número:1
Página de inicio:229
Página de fin:244
DOI: http://dx.doi.org/10.3934/cpaa.2015.14.229
Título revista:Communications on Pure and Applied Analysis
Título revista abreviado:Commun. Pure Appl. Anal.
ISSN:15340392
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15340392_v14_n1_p229_Mazon

Referencias:

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  • Igbida, N., Mazón, J.M., Rossi, J.D., Toledo, J., Mass Transport Problems for Costs Given by Finsler Distances Via p-Laplacian Approximations, , Preprint
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Citas:

---------- APA ----------
Mazón, J.M., Rossi, J.D. & Toledo, J. (2015) . Optimal matching problems with costs given by Finsler distances. Communications on Pure and Applied Analysis, 14(1), 229-244.
http://dx.doi.org/10.3934/cpaa.2015.14.229
---------- CHICAGO ----------
Mazón, J.M., Rossi, J.D., Toledo, J. "Optimal matching problems with costs given by Finsler distances" . Communications on Pure and Applied Analysis 14, no. 1 (2015) : 229-244.
http://dx.doi.org/10.3934/cpaa.2015.14.229
---------- MLA ----------
Mazón, J.M., Rossi, J.D., Toledo, J. "Optimal matching problems with costs given by Finsler distances" . Communications on Pure and Applied Analysis, vol. 14, no. 1, 2015, pp. 229-244.
http://dx.doi.org/10.3934/cpaa.2015.14.229
---------- VANCOUVER ----------
Mazón, J.M., Rossi, J.D., Toledo, J. Optimal matching problems with costs given by Finsler distances. Commun. Pure Appl. Anal. 2015;14(1):229-244.
http://dx.doi.org/10.3934/cpaa.2015.14.229