Optimal Couplings of Kantorovich-Rubinstein-Wasserstein Lp-distance
نویسنده
چکیده
The research is supported by Zhejiang Provincial Education Department Research Projects (Y201016421) Abstract 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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