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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Detalles Bibliográficos
Autores principales: Garcia-Azorero, J., Manfredi, J.J., Peral, I., Rossi, J.D.
Formato: JOUR
Materias:
Dirichlet-Neumann boundary conditions
Quasilinear elliptic equations
Acceso en línea: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

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