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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_11206330_v20_n2_p111_GarciaAzorero |
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todo:paper_11206330_v20_n2_p111_GarciaAzorero2023-10-03T16:06:38Z The limit as p → ∞ for the p-Laplacian with mixed boundary conditions and the mass transport problem through a given window Garcia-Azorero, J. Manfredi, J.J. Peral, I. Rossi, J.D. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Garcia-Azorero, J. Manfredi, J.J. Peral, I. Rossi, J.D. 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. |
| format |
JOUR |
| author |
Garcia-Azorero, J. Manfredi, J.J. Peral, I. Rossi, J.D. |
| author_facet |
Garcia-Azorero, J. Manfredi, J.J. Peral, I. Rossi, J.D. |
| author_sort |
Garcia-Azorero, J. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_11206330_v20_n2_p111_GarciaAzorero |
| work_keys_str_mv |
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1807318551992729600 |