12 citations · 40 across the 12 of their papers we have counts for
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math.OC2020
Ramified optimal transportation with payoff on the boundary
Qinglan Xia, Shaofeng Xu
This paper studies a variant of ramified/branched optimal transportation problems. Given the distributions of production capacities and market sizes, a firm looks for an allocation…
math.CA2020★ 5 cited
The existence of minimizers for an isoperimetric problem with Wasserstein penalty term in unbounded domains
Qinglan Xia, Bohan Zhou
In this article, we consider the (double) minimization problem $$\min\left\{P(E;Ω)+λW_p(E,F):~E\subseteqΩ,~F\subseteq \mathbb{R}^d,~\lvert E\cap F\rvert=0,~ \lvert E\rvert=\lvert F…