Invariance properties of the Monge-Kantorovich mass transport problem

DOI10.3934/dcds.2016.36.2653zbMath1334.49145arXiv1311.7051OpenAlexW2963403333MaRDI QIDQ256231

Abbas Moameni

Publication date: 9 March 2016

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

Full work available at URL: https://arxiv.org/abs/1311.7051

zbMATH Keywords

optimal transportationinvariant solutionsmulti-marginal problems

Mathematics Subject Classification ID

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 (8)

On the Monge-Kantorovich problem with additional linear constraints ⋮ On ergodic decompositions related to the Kantorovich problem ⋮ Continuity and estimates for multimarginal optimal transportation problems with singular costs ⋮ Stationary solutions to the stochastic Burgers equation on the line ⋮ Metric selfduality and monotone vector fields on manifolds ⋮ Nonpositive curvature, the variance functional, and the Wasserstein barycenter ⋮ On c-cyclical monotonicity for optimal transport problem with Coulomb cost ⋮ On multistochastic Monge-Kantorovich problem, bitwise operations, and fractals

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