The limit as for the -Laplacian with mixed boundary conditions and the mass transport problem through a given window
Ireneo Peral
Universidad Autónoma de Madrid, SpainJesús García-Azorero
Universidad Autónoma de Madrid, SpainJuan J. Manfredi
University of Pittsburgh, United StatesJulio D. Rossi
Universidad de Buenos Aires, Argentina
Abstract
In this paper we study the limit as in a PDE problem involving the -Laplacian with a right hand side, , with mixed boundary conditions, on and on . We find that this limit is related to an optimal mass transport problem, where the total mass given by is transported outside the domain through a given window on the boundary .
Cite this article
Ireneo Peral, Jesús García-Azorero, Juan J. Manfredi, Julio D. Rossi, The limit as for the -Laplacian with mixed boundary conditions and the mass transport problem through a given window. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 20 (2009), no. 2, pp. 111–126
DOI 10.4171/RLM/536