Artículo

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" (2009) Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni. 20(2):111-126
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Abstract:

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.

Registro:

Documento: Artículo
Título:The limit as p → ∞ for the p-Laplacian with mixed boundary conditions and the mass transport problem through a given window
Autor:Garcia-Azorero, J.; Manfredi, J.J.; Peral, I.; Rossi, J.D.
Filiación:Departamento de Matemáticas, U. Autonoma de Madrid, 28049 Madrid, Spain
University of Pittsburgh, Pittsburgh, PA 15260, United States
IMDEA Matemáticas, Campus Cantoblanco, Universidad Autonoma de Madrid, Madrid, Spain
Dpto. de Matemáticas, FCEyN, Universidad de Buenos Aires, Argentina
Palabras clave:Dirichlet-Neumann boundary conditions; Quasilinear elliptic equations
Año:2009
Volumen:20
Número:2
Página de inicio:111
Página de fin:126
DOI: http://dx.doi.org/10.4171/RLM/536
Título revista:Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni
Título revista abreviado:Att Aca Naz Lincei Cl Sci Fis Mat Nat Rend Lincei Mat Appl
ISSN:11206330
CODEN:ADAAE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11206330_v20_n2_p111_GarciaAzorero

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Citas:

---------- APA ----------
Garcia-Azorero, J., Manfredi, J.J., Peral, I. & Rossi, J.D. (2009) . The limit as p → ∞ for the p-Laplacian with mixed boundary conditions and the mass transport problem through a given window. Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, 20(2), 111-126.
http://dx.doi.org/10.4171/RLM/536
---------- CHICAGO ----------
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" . Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni 20, no. 2 (2009) : 111-126.
http://dx.doi.org/10.4171/RLM/536
---------- MLA ----------
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" . Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, vol. 20, no. 2, 2009, pp. 111-126.
http://dx.doi.org/10.4171/RLM/536
---------- VANCOUVER ----------
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. Att Aca Naz Lincei Cl Sci Fis Mat Nat Rend Lincei Mat Appl. 2009;20(2):111-126.
http://dx.doi.org/10.4171/RLM/536