Optimality conditions and exact solutions to the two-dimensional Monge--Kantorovich problem
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part XI, Tome 312 (2004), pp. 150-164

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Optimality conditions are given in the Monge–Kantorovich and Monge problems, and exact solutions to several classic two-dimensional problems are obtained.
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     author = {V. L. Levin},
     title = {Optimality conditions and exact solutions to the two-dimensional {Monge--Kantorovich} problem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_312_a13/}
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V. L. Levin. Optimality conditions and exact solutions to the two-dimensional Monge--Kantorovich problem. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part XI, Tome 312 (2004), pp. 150-164. http://geodesic.mathdoc.fr/item/ZNSL_2004_312_a13/