Optimal Couplings of Kantorovich-Rubinstein-Wasserstein Lp-distance

Yinfang Shen


We achieve that the optimal solutions according to Kantorovich-Rubinstein-Wasserstein Lp-distance (p > 2) (abbreviation:
KRW Lp-distance) in a bounded region of Euclidean plane satisfy a partial differential equation. We can also obtain
the similar results about Monge-Kantorovich problem with more general convex cost functions.

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DOI: https://doi.org/10.5539/jmr.v3n4p3

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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