Geodesic
Uniqueness and non uniqueness of optimal maps in mass transport problem with not strictly convex cost
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 1, pp. 67-83.

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In the setting of the optimal transportation problem we provide some conditions which ensure the existence and the uniqueness of the optimal map in the case of cost functions satisfying mild regularity hypothesis and no convexity or concavity assumptions.
Classification : 49J30, 54C60
Keywords: mass transport problem; measurable selections; degree theory 
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     title = {Uniqueness and non uniqueness of optimal maps in mass transport problem with not strictly convex cost},
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     zbl = {1224.49008},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_2010__51_1_a6/}
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Putten, Roberto van der. Uniqueness and non uniqueness of optimal maps in mass transport problem with not strictly convex cost. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 1, pp. 67-83. http://geodesic.mathdoc.fr/item/CMUC_2010__51_1_a6/