Transport and concentration problems with interaction effects

DOI10.1007/s10898-006-9087-zzbMath1124.49034arXivmath/0508209OpenAlexW2033862914MaRDI QIDQ2460115

Filippo Santambrogio

Publication date: 14 November 2007

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508209

zbMATH Keywords

Monge-Ampère equationRegularityNonconvex optimizationInteraction energyMass transportation

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational problems in a geometric measure-theoretic setting (49Q20) Traffic problems in operations research (90B20) Optimality conditions for problems in abstract spaces (49K27)

Related Items (6)

Dealing with moment measures via entropy and optimal transport ⋮ Nonlinear systems coupled through multi-marginal transport problems ⋮ A Harnack inequality for the Jordan-Kinderlehrer-Otto scheme ⋮ A JKO Splitting Scheme for Kantorovich--Fisher--Rao Gradient Flows ⋮ \(BV\) estimates in optimal transportation and applications ⋮ On the Jordan-Kinderlehrer-Otto scheme

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• New lower semicontinuity results for nonconvex functionals defined on measures
• OPTIMAL PATHS RELATED TO TRANSPORT PROBLEMS

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