Existence and Uniqueness of a Measure-Preserving Optimal Mapping in a General Monge--Kantorovich
Funkcionalʹnyj analiz i ego priloženiâ, Tome 32 (1998) no. 3, pp. 79-82.

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V. L. Levin. Existence and Uniqueness of a Measure-Preserving Optimal Mapping in a General Monge--Kantorovich. Funkcionalʹnyj analiz i ego priloženiâ, Tome 32 (1998) no. 3, pp. 79-82. http://geodesic.mathdoc.fr/item/FAA_1998_32_3_a10/

[1] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz, Nauka, M., 1984 | MR | Zbl

[2] Sudakov V. N., Trudy MIAN, 141, 1976 | MR | Zbl

[3] Gangbo W., McCann R. J., “The geometry of optimal transportation”, Acta Math., 177 (1996), 113–161 | DOI | MR | Zbl

[4] Levin V. L., “General Monge-Kantorovich problem and its applications in measure theory and mathematical economics”, Functional Analysis, Optimization and Mathematical Economics, Oxford University Press, New York, 1990, 141–176 | MR | Zbl

[5] Rockafellar R. T., “Characterization of the subdifferentials of convex functions”, Pacif. J. Math., 17 (1966), 497–510 | DOI | MR | Zbl

[6] Smith C. S., Knott M., J. Multivariate Anal., 40 (1992), 328–334 | DOI | MR | Zbl

[7] Levin V. L., “Formula dlya optimalnogo znacheniya zadachi Monzha-Kantorovicha s gladkoi funktsiei stoimosti i kharakterizatsiya tsiklicheski monotonnykh otobrazhenii”, Matem. sb., 181:12 (1990), 1694–1709 | MR

[8] Levin V. L., “A superlinear multifunction arising in connection with mass transfer problems”, Set-Valued Anal., 4:1 (1996), 41–65 | DOI | MR | Zbl