An optimal matching problem with constraints
We deal with an optimal matching problem with constraints, that is, we want to transport two measures with the same total mass in RN to a given place (the target set), where they will match and in which we have constraints on the amount of matter we can take to points in the target set. This transpo...
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Springer-Verlag Italia s.r.l.
2018
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| LEADER | 06698caa a22006617a 4500 | ||
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| 001 | PAPER-25209 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518205713.0 | ||
| 008 | 190410s2018 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-85041893025 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Mazón, J.M. | |
| 245 | 1 | 3 | |a An optimal matching problem with constraints |
| 260 | |b Springer-Verlag Italia s.r.l. |c 2018 | ||
| 270 | 1 | 0 | |m Mazón, J.M.; Departament d’Anàlisi Matemàtica, Universidad de ValènciaSpain; email: mazon@uv.es |
| 506 | |2 openaire |e Política editorial | ||
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| 504 | |a Kantorovich, L.V., On the tranfer of masses (1942) Dokl. Nauk. SSSR, 37, pp. 227-229 | ||
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| 504 | |a Mazón, J.M., Rossi, J.D., Toledo, J.J., An optimal matching problem for the Euclidean distance (2014) SIAM J. Math. Anal., 46, pp. 233-255 | ||
| 504 | |a Mazón, J.M., Rossi, J.D., Toledo, J.J., Optimal matching problems with costs given by Finsler distances (2015) Commun. Pure Appl. Anal., 14, pp. 229-244 | ||
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| 520 | 3 | |a We deal with an optimal matching problem with constraints, that is, we want to transport two measures with the same total mass in RN to a given place (the target set), where they will match and in which we have constraints on the amount of matter we can take to points in the target set. This transport has to be done optimally, minimizing the total transport cost, that in our case is given by the sum of the Euclidean distances that each measure is transported. Here we show that such a problem has a solution. First, we solve the problem using mass transport arguments and next we perform a method to approximate the solution of the problem taking limit as p→ ∞ in a p-Laplacian type variational problem. In the particular case in which the target set is contained in a hypersurface, we deal with an optimal transport problem through a membrane, that is, we want to transport two measures which are located in different locations separated by a membrane (the hypersurface) which only let through a predetermined amount of matter. © 2018, Universidad Complutense de Madrid. |l eng | |
| 536 | |a Detalles de la financiación: Ministerio de Economía y Competitividad | ||
| 536 | |a Detalles de la financiación: Federación Española de Enfermedades Raras, FEDER, MTM2015-70227-P | ||
| 536 | |a Detalles de la financiación: Acknowledgements The authors have been partially supported by the Spanish MINECO and FEDER, Project MTM2015-70227-P. | ||
| 593 | |a Departament d’Anàlisi Matemàtica, Universidad de València, Valencia, Spain | ||
| 593 | |a Departamento de Matemáticas, Universidad de Buenos Aires, Buenos Aires, Argentina | ||
| 690 | 1 | 0 | |a MASS TRANSPORT THEORY |
| 690 | 1 | 0 | |a MATCHING PROBLEMS |
| 690 | 1 | 0 | |a P-LAPLACIAN EQUATION |
| 700 | 1 | |a Rossi, J.D. | |
| 700 | 1 | |a Toledo, J. | |
| 773 | 0 | |d Springer-Verlag Italia s.r.l., 2018 |g v. 31 |h pp. 407-447 |k n. 2 |p Rev. Mat. Complutense |x 11391138 |t Revista Matematica Complutense | |
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| 856 | 4 | 0 | |u https://doi.org/10.1007/s13163-018-0256-7 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_11391138_v31_n2_p407_Mazon |y Handle |
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