Dissociating limit in density functional theory with Coulomb optimal transport cost

DOI10.2422/2036-2145.201903_014zbMath1490.82036arXiv1811.12085OpenAlexW3126229522MaRDI QIDQ5161618

Guy Bouchitté, Thierry Champion, Luigi De Pascale, Giusseppe Buttazzo

Publication date: 1 November 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.12085

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory (optimization) (49N15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Variational methods applied to problems in statistical mechanics (82M30)

Related Items

Relaxed multi-marginal costs and quantization effects ⋮ Monge solutions and uniqueness in multi-marginal optimal transport via graph theory ⋮ Continuity of Multimarginal Optimal Transport with Repulsive Cost

Cites Work

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• An introduction to \(\Gamma\)-convergence
• Continuity and estimates for multimarginal optimal transportation problems with singular costs
• Optimal transport with Coulomb cost and the semiclassical limit of density functional theory
• Semi-classical limit of the Levy-Lieb functional in density functional theory
• Smoothing of transport plans with fixed marginals and rigorous semiclassical limit of the Hohenberg-Kohn functional
• Density Functional Theory and Optimal Transportation with Coulomb Cost
• Continuity of Multimarginal Optimal Transport with Repulsive Cost

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