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
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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
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Palabras clave: | Dirichlet-Neumann boundary conditions; Quasilinear elliptic equations |
Año: | 2009
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Volumen: | 20
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Número: | 2
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Página de inicio: | 111
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Página de fin: | 126
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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
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Título revista abreviado: | Att Aca Naz Lincei Cl Sci Fis Mat Nat Rend Lincei Mat Appl
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ISSN: | 11206330
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CODEN: | ADAAE
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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