2009 | OriginalPaper | Buchkapitel
Solution of the Monge problem I: global approach
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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.