The limit as p → ∞ for the p-Laplacian with mixed boundary conditions and the mass transport problem through a given window

In this paper we study the limit as p → ∞ in a PDE problem involving the p-Laplacian with a right hand side, -div(|Du|p-2 Du) = f, with mixed boundary conditions, u = 0 on Γ and |Du|p-2 ∂u/∂ν = 0 on ∂Ω\\Γ. We find that this limit is related to an optimal mass transport problem, where the total mass...

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Autor principal: Rossi, Julio Daniel
Publicado: 2009
Materias:
Dirichlet-Neumann boundary conditions
Quasilinear elliptic equations
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11206330_v20_n2_p111_GarciaAzorero
http://hdl.handle.net/20.500.12110/paper_11206330_v20_n2_p111_GarciaAzorero
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_11206330_v20_n2_p111_GarciaAzorero
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spelling paper:paper_11206330_v20_n2_p111_GarciaAzorero2023-06-08T16:08:05Z The limit as p → ∞ for the p-Laplacian with mixed boundary conditions and the mass transport problem through a given window Rossi, Julio Daniel Dirichlet-Neumann boundary conditions Quasilinear elliptic equations In this paper we study the limit as p → ∞ in a PDE problem involving the p-Laplacian with a right hand side, -div(|Du|p-2 Du) = f, with mixed boundary conditions, u = 0 on Γ and |Du|p-2 ∂u/∂ν = 0 on ∂Ω\\Γ. We find that this limit is related to an optimal mass transport problem, where the total mass given by f is transported outside the domain through a given window on the boundary Γ. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11206330_v20_n2_p111_GarciaAzorero http://hdl.handle.net/20.500.12110/paper_11206330_v20_n2_p111_GarciaAzorero
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Dirichlet-Neumann boundary conditions
Quasilinear elliptic equations
spellingShingle Dirichlet-Neumann boundary conditions
Quasilinear elliptic equations
Rossi, Julio Daniel
The limit as p → ∞ for the p-Laplacian with mixed boundary conditions and the mass transport problem through a given window
topic_facet Dirichlet-Neumann boundary conditions
Quasilinear elliptic equations
description In this paper we study the limit as p → ∞ in a PDE problem involving the p-Laplacian with a right hand side, -div(|Du|p-2 Du) = f, with mixed boundary conditions, u = 0 on Γ and |Du|p-2 ∂u/∂ν = 0 on ∂Ω\\Γ. We find that this limit is related to an optimal mass transport problem, where the total mass given by f is transported outside the domain through a given window on the boundary Γ.
author Rossi, Julio Daniel
author_facet Rossi, Julio Daniel
author_sort Rossi, Julio Daniel
title The limit as p → ∞ for the p-Laplacian with mixed boundary conditions and the mass transport problem through a given window
title_short The limit as p → ∞ for the p-Laplacian with mixed boundary conditions and the mass transport problem through a given window
title_full The limit as p → ∞ for the p-Laplacian with mixed boundary conditions and the mass transport problem through a given window
title_fullStr The limit as p → ∞ for the p-Laplacian with mixed boundary conditions and the mass transport problem through a given window
title_full_unstemmed The limit as p → ∞ for the p-Laplacian with mixed boundary conditions and the mass transport problem through a given window
title_sort limit as p → ∞ for the p-laplacian with mixed boundary conditions and the mass transport problem through a given window
publishDate 2009
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11206330_v20_n2_p111_GarciaAzorero
http://hdl.handle.net/20.500.12110/paper_11206330_v20_n2_p111_GarciaAzorero
work_keys_str_mv AT rossijuliodaniel thelimitaspfortheplaplacianwithmixedboundaryconditionsandthemasstransportproblemthroughagivenwindow
AT rossijuliodaniel limitaspfortheplaplacianwithmixedboundaryconditionsandthemasstransportproblemthroughagivenwindow
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