Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data

DOI10.1142/S021820251650024XzbMath1342.35278arXiv1507.08522OpenAlexW2963223231WikidataQ124982096 ScholiaQ124982096MaRDI QIDQ2806544

Federico Stra, Maria Colombo

Publication date: 18 May 2016

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08522

zbMATH Keywords

Monge-Kantorovich problemDensity Functional Theoryoptimal transport problemspherically symmetric data

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Variational problems in a geometric measure-theoretic setting (49Q20) PDEs in connection with quantum mechanics (35Q40) Variational principles of physics (49S05)

Related Items (6)

On deterministic solutions for multi-marginal optimal transport with Coulomb cost ⋮ Universal diagonal estimates for minimizers of the Levy-Lieb functional ⋮ Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces ⋮ Geometry of Kantorovich polytopes and support of optimizers for repulsive multi-marginal optimal transport on finite state spaces ⋮ Continuity of Multimarginal Optimal Transport with Repulsive Cost ⋮ On c-cyclical monotonicity for optimal transport problem with Coulomb cost

Cites Work

• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
• 9. Optimal transportation theory with repulsive costs
• Multimarginal Optimal Transport Maps for One–dimensional Repulsive Costs
• Unnamed Item

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