Limits for Monge-Kantorovich mass transport problems
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 perfo...
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| Formato: | Artículo publishedVersion |
| Lenguaje: | Inglés |
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2008
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15340392_v7_n4_p853_Azorero |
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paperaa:paper_15340392_v7_n4_p853_Azorero2023-06-12T16:50:38Z Limits for Monge-Kantorovich mass transport problems Commun. Pure Appl. Anal. 2008;7(4):853-865 Azorero, J.G. Manfredi, J.J. Peral, I. Rossi, J.D. Mass transport Neumann boundary conditions Quasilinear elliptic equations 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. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2008 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15340392_v7_n4_p853_Azorero |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| topic |
Mass transport Neumann boundary conditions Quasilinear elliptic equations |
| spellingShingle |
Mass transport Neumann boundary conditions Quasilinear elliptic equations Azorero, J.G. Manfredi, J.J. Peral, I. Rossi, J.D. Limits for Monge-Kantorovich mass transport problems |
| topic_facet |
Mass transport Neumann boundary conditions Quasilinear elliptic equations |
| description |
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. |
| format |
Artículo Artículo publishedVersion |
| author |
Azorero, J.G. Manfredi, J.J. Peral, I. Rossi, J.D. |
| author_facet |
Azorero, J.G. Manfredi, J.J. Peral, I. Rossi, J.D. |
| author_sort |
Azorero, J.G. |
| title |
Limits for Monge-Kantorovich mass transport problems |
| title_short |
Limits for Monge-Kantorovich mass transport problems |
| title_full |
Limits for Monge-Kantorovich mass transport problems |
| title_fullStr |
Limits for Monge-Kantorovich mass transport problems |
| title_full_unstemmed |
Limits for Monge-Kantorovich mass transport problems |
| title_sort |
limits for monge-kantorovich mass transport problems |
| publishDate |
2008 |
| url |
http://hdl.handle.net/20.500.12110/paper_15340392_v7_n4_p853_Azorero |
| work_keys_str_mv |
AT azorerojg limitsformongekantorovichmasstransportproblems AT manfredijj limitsformongekantorovichmasstransportproblems AT perali limitsformongekantorovichmasstransportproblems AT rossijd limitsformongekantorovichmasstransportproblems |
| _version_ |
1769810402181382144 |