On Monge-Kantorovich Problem in the Plane

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dc.creatorShen, Yinfang
dc.creatorZheng, Weian
dc.date2008-03-19
dc.date.accessioned2026-07-07T09:27:32Z
dc.date.available2026-07-07T09:27:32Z
dc.descriptionWe transfer the celebrating Monge-Kontorovich problem in a bounded domain of Euclidean plane into a Dirichlet boundary problem associated to a quasi-linear elliptic equation with $0-$order term missing in its diffusion coefficients: \begin{eqnarray*} A(x, F'_x)F''_{xx}+B(y, F'_y)F''_{yy}&=&C(x, y, F'_x, F'_y) \end{eqnarray*} where $A(.,.)>0, B(.,.)>0$ and $C$ are functions based on the initial distributions, $F$ is an unknown probability distribution function and therefore closed the former problem.
dc.identifierhttps://arxiv.org/abs/0803.2830
dc.identifierhttp://arxiv.org/abs/0803.2830
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157136
dc.subjectProbability
dc.subjectAnalysis of PDEs
dc.subject35J15, 35J20, 60A10
dc.titleOn Monge-Kantorovich Problem in the Plane
dc.typetext

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