Advanced Nonlinear Studies
 2014
DOI: 10.1515/ans-2014-0109
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Optimal Mass Transport in Thin Domains

José Carlos Navarro Climent
1
,
Julio D. Rossi
2
,
R. C. Volpe
3

Abstract: Abstract. We find the behavior of the solution of the optimal transport problem for the Euclidean distance (and its approximation by p−Laplacian problems) when the involved measures are supported in a domain that is contracted in one direction.

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