Browsing by Subject "Wasserstein metric"
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Article
On the regularity of optimal sets in mass transfer problems
(2006)Given a set Ω ⊂ ℝn with fixed volume and D ⊂ ℝn, we study the regularity of the boundary of a set Ω that minimizes both its perimeter in D and the transportation cost from Ω1 onto Ω. We prove that Ω has almost minimal ...