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Allocation maps with general cost functions. (English) Zbl 0883.49030

Marcellini, Paolo (ed.) et al., Partial differential equations and applications. Collected papers in honor of Carlo Pucci on the occasion of his 70th birthday. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 177, 29-35 (1996).
The author presents an extension, to general strictly convex functions \(C\), of the allocation theory developed by Y. Brenier [Commun. Pure Appl. Math. 44, No. 4, 375-417 (1991; Zbl 0738.46011)] in the case \(C(x)=\frac 12 |x|^2\).
For the entire collection see [Zbl 0834.00042].

MSC:

49Q20 Variational problems in a geometric measure-theoretic setting
46N10 Applications of functional analysis in optimization, convex analysis, mathematical programming, economics

Citations:

Zbl 0738.46011
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