How to show that some rays are maximal transport rays in Monge Problem

zbMath1150.49024MaRDI QIDQ2504942

Aldo Pratelli

Publication date: 28 September 2006

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108655

zbMATH Keywords

mass transportationoptimal transport mapbalanced ray configuration

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items

Summability estimates on transport densities with Dirichlet regions on the boundaryviasymmetrization techniques ⋮ Continuity of an optimal transport in Monge problem

Cites Work

• Convex analysis and measurable multifunctions
• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
• Continuity of an optimal transport in Monge problem
• Differential equations methods for the Monge-Kantorovich mass transfer problem
• Mathématiques/Mathematics Shape optimization solutions via Monge-Kantorovich equation
• Characterization of optimal shapes and masses through Monge-Kantorovich equation
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