Continuity of Multimarginal Optimal Transport with Repulsive Cost

DOI10.1137/19M123943XzbMath1419.35169OpenAlexW2956467381MaRDI QIDQ5231329

Simone Di Marino, Maria Colombo, Federico Stra

Publication date: 26 August 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m123943x

zbMATH Keywords

density functional theoryKantorovich potentialmultimarginal optimal transport

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) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (7)

Relaxed multi-marginal costs and quantization effects ⋮ Universal diagonal estimates for minimizers of the Levy-Lieb functional ⋮ Classical density functional theory: representability and universal bounds ⋮ Semidefinite Relaxation of Multimarginal Optimal Transport for Strictly Correlated Electrons in Second Quantization ⋮ Dissociating limit in density functional theory with Coulomb optimal transport cost ⋮ Regularity of Schrödinger's functional equation in the weak topology and moment measures ⋮ On c-cyclical monotonicity for optimal transport problem with Coulomb cost

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