Abstract
It is a natural problem to identify functionals that are convex on the Wasserstein space. In his 1994 PhD thesis, McCann established and used the convexity of certain functionals on P2(Rn) to prove the uniqueness of their minimizers.
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© 2009 Springer-Verlag Berlin Heidelberg
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Villani, C. (2009). Displacement convexity I. In: Optimal Transport. Grundlehren der mathematischen Wissenschaften, vol 338. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71050-9_16
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DOI: https://doi.org/10.1007/978-3-540-71050-9_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71049-3
Online ISBN: 978-3-540-71050-9
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