The \(L^\infty\) optimal transport: infinite cyclical monotonicity and the existence of optimal transport maps
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Publication:488136
DOI10.1007/s00526-014-0713-1zbMath1306.49062OpenAlexW2110640440WikidataQ110225167 ScholiaQ110225167MaRDI QIDQ488136
Publication date: 23 January 2015
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-014-0713-1
Variational problems in a geometric measure-theoretic setting (49Q20) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)
Related Items (9)
\(L^\infty\) estimates in optimal mass transportation ⋮ Optimal transport maps on Alexandrov spaces revisited ⋮ \(L^\infty\)-optimal transport for a class of strictly quasiconvex cost functions ⋮ Duality for the $L^{\infty }$ optimal transport problem ⋮ Asymptotic analysis of the Ginzburg–Landau functional on point clouds ⋮ A study of the dual problem of the one-dimensional \(L^\infty\)-optimal transport problem with applications ⋮ Measurement uncertainty relations ⋮ \({\mathcal{W}}_\infty \)-transport with discrete target as a combinatorial matching problem ⋮ Unnamed Item
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