On the twist condition and \(c\)-monotone transport plans

DOI10.3934/dcds.2014.34.1339zbMath1275.49082OpenAlexW2324617684MaRDI QIDQ379816

Thierry Champion, Luigi De Pascale

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.1339

zbMATH Keywords

Monge-Kantorovich problemcyclical monotonicityoptimal transport problemTonelli Lagrangian

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (9)

Optimal transport maps on Alexandrov spaces revisited ⋮ \(L^\infty\)-optimal transport for a class of strictly quasiconvex cost functions ⋮ The \(L^\infty\) optimal transport: infinite cyclical monotonicity and the existence of optimal transport maps ⋮ A study of the dual problem of the one-dimensional \(L^\infty\)-optimal transport problem with applications ⋮ On optimal partitions, individual values and cooperative games: does a wiser agent always produce a higher value? ⋮ Metric selfduality and monotone vector fields on manifolds ⋮ Representation of generalized monotone multimaps ⋮ On semi-discrete Monge-Kantorovich and generalized partitions ⋮ Full characterization of optimal transport plans for concave costs

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