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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| Autores principales: | , , , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_11206330_v20_n2_p111_GarciaAzorero |
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| Sumario: | 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. |
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