Artículo
Azorero, J.G.; Manfredi, J.J.; Peral, I.; Rossi, J.D. "Limits for Monge-Kantorovich mass transport problems" (2008) Communications on Pure and Applied Analysis. 7(4):853-865
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Abstract:
In this paper we study the limit of Monge-Kantorovich mass transfer problems when the involved measures are supported in a small strip near the boundary of a bounded smooth domain, Ω. Given two absolutely continues measures (with respect to the surface measure) supported on the boundary ∂Ω, by performing a suitable extension of the measures to a strip of width ε near the boundary of the domain Ω we consider the mass transfer problem for the extensions. Then we study the limit as ε goes to zero of the Kantorovich potentials for the extensions and obtain that it coincides with a solution of the original mass transfer problem. Moreover we look for the possible approximations of these problems by solutions to equations involving the p-Laplacian for large values of p.
Registro:
| Documento: | Artículo |
| Título: | Limits for Monge-Kantorovich mass transport problems |
| Autor: | Azorero, J.G.; Manfredi, J.J.; Peral, I.; Rossi, J.D. |
| Filiación: | Departamento de Matemáticas, U. Autónoma de Madrid, 28049 Madrid, Spain Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, United States IMDEA Matemáticas, C-IX, Campus UAM, 28049 Madrid, Spain Dep. de Matemática, FCEyN UBA, (1428) Buenos Aires, Argentina |
| Palabras clave: | Mass transport; Neumann boundary conditions; Quasilinear elliptic equations |
| Año: | 2008 |
| Volumen: | 7 |
| Número: | 4 |
| Página de inicio: | 853 |
| Página de fin: | 865 |
| DOI: | http://dx.doi.org/10.3934/cpaa.2008.7.853 |
| Título revista: | Communications on Pure and Applied Analysis |
| Título revista abreviado: | Commun. Pure Appl. Anal. |
| ISSN: | 15340392 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_15340392_v7_n4_p853_Azorero.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15340392_v7_n4_p853_Azorero |
Referencias:
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Citas:
---------- APA ----------
Azorero, J.G., Manfredi, J.J., Peral, I. & Rossi, J.D. (2008) . Limits for Monge-Kantorovich mass transport problems. Communications on Pure and Applied Analysis, 7(4), 853-865.http://dx.doi.org/10.3934/cpaa.2008.7.853
---------- CHICAGO ----------
Azorero, J.G., Manfredi, J.J., Peral, I., Rossi, J.D. "Limits for Monge-Kantorovich mass transport problems" . Communications on Pure and Applied Analysis 7, no. 4 (2008) : 853-865.http://dx.doi.org/10.3934/cpaa.2008.7.853
---------- MLA ----------
Azorero, J.G., Manfredi, J.J., Peral, I., Rossi, J.D. "Limits for Monge-Kantorovich mass transport problems" . Communications on Pure and Applied Analysis, vol. 7, no. 4, 2008, pp. 853-865.http://dx.doi.org/10.3934/cpaa.2008.7.853
---------- VANCOUVER ----------
Azorero, J.G., Manfredi, J.J., Peral, I., Rossi, J.D. Limits for Monge-Kantorovich mass transport problems. Commun. Pure Appl. Anal. 2008;7(4):853-865.http://dx.doi.org/10.3934/cpaa.2008.7.853
