Abstract
In the present chapter and the next one I shall investigate the solvability of the Monge problem for a Lagrangian cost function. Recall from Theorem 5.30 that it is sufficient to identify conditions under which the initial measure µ does not see the set of points where the c-subdifferential of a c-convex function ψ is multivalued.
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© 2009 Springer-Verlag Berlin Heidelberg
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Villani, C. (2009). Solution of the Monge problem I: global approach. In: Optimal Transport. Grundlehren der mathematischen Wissenschaften, vol 338. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71050-9_9
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DOI: https://doi.org/10.1007/978-3-540-71050-9_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71049-3
Online ISBN: 978-3-540-71050-9
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