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L. A. Caffarelli, Some regularity properties of solutions of Monge Amp`ere equation. Comm. Pure Appl. Math., 44 (1991), no. 89, 965969.
L. A. Caffarelli, The regularity of mapping with a convex potential. J. Amer. Math. Soc., 5 (1992), 99104.
L. A. Caffarelli, Boundary regularity of maps with convex potentials II. Ann. of Math., 144 (1996), 453496.
L. A. Caffarelli, Monotonicity properties of optimal transportation and the FKG and related inequalities. Comm. Math. Phys., 214 (2000), no. 3, 547563.
D. CorderoErausquin, Sur le transport de mesures pÂ´eriodiques. C. R. Acad. Sci. Paris S`er. I Math., 329 (1999), 199202.
N. Trudinger and X.J. Wang, On the second boundary value problem for MongeAmp`ere type equations and optimal transportation. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 8 (2009), no. 1, 143174.
J. Urbas, On the second boundary value problem for equations of MongeAmp`ere type. J. Reine Angew. Math., 487 (1997), 115124.