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Table des matières de ce fascicule | Article suivant Pratelli, Aldo
On the equality between Monge's infimum and Kantorovich's minimum in optimal mass transportation. Annales de l'institut Henri Poincaré (B) Probabilités et Statistiques, 43 no. 1 (2007), p. 1-13
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[1] L. Ambrosio, Lecture notes on optimal transport problems, in: Mathematical Aspects of Evolving Interfaces, Lecture Notes in Math., vol. 1812, Springer, 2003, pp. 1-52. MR 2011032 | Zbl 1047.35001 [2] L. Ambrosio, A. Pratelli, Existence and stability results in the ${L}^{1}$ theory of optimal transportation, in: Optimal Transportation and Applications, Lecture Notes in Math., vol. 1813, Springer, 2003, pp. 123-160. MR 2006307 | Zbl 1065.49026 [3] L. Caffarelli, M. Feldman, R.J. McCann, Constructing optimal maps for Monge's transport problem as a limit of strictly convex costs, J. Amer. Math. Soc. 15 (2002) 1-26. MR 1862796 | Zbl 1053.49032 [4] L.C. Evans, W. Gangbo, Differential equations methods for the Monge–Kantorovich mass transfer problem, Mem. Amer. Math. Soc. 137 (653) (1999). Zbl 0920.49004 [5] W. Gangbo, The Monge mass transfer problem and its applications, Contemp. Math. 226 (1999) 79-104. MR 1660743 | Zbl 0930.49025 [6] L.V. Kantorovich, On the transfer of masses, Dokl. Akad. Nauk SSSR 37 (1942) 227-229. [7] L.V. Kantorovich, On a problem of Monge, Uspekhi Mat. Nauk 3 (1948) 225-226. [8] G. Monge, Memoire sur la Theorie des Déblais et des Remblais, Hist. de l'Acad. des Sciences de Paris, 1781. [9] J.C. Oxtoby, Homeomorphic measures in metric spaces, Proc. Amer. Math. Soc. 24 (1970) 419-423. MR 260961 | Zbl 0187.00902 [10] A. Pratelli, Existence of optimal transport maps and regularity of the transport density in mass transportation problems, Ph.D. Thesis, Scuola Normale Superiore, Pisa, Italy, 2003. Available on, http://cvgmt.sns.it/. [11] S.T. Rachev, L. Rüschendorf, Mass Transportation Problems, Springer-Verlag, 1998. [12] H.L. Royden, Real Analysis, second ed., Macmillan, 1968. Zbl 0197.03501 [13] N.S. Trudinger, X.J. Wang, On the Monge mass transfer problem, Calc. Var. Partial Differential Equations 13 (2001) 19-31. MR 1854255 | Zbl 1010.49030
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