Free boundary Monge-Ampère equations

DOI10.1051/cocv/2022048zbMath1498.49035OpenAlexW4283830042WikidataQ114011431 ScholiaQ114011431MaRDI QIDQ5041365

Marc Sedjro

Publication date: 13 October 2022

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2022048

zbMATH Keywords

dualitymass transportationMonge-Ampère

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Duality theory (optimization) (49N15) Monge-Ampère equations (35J96) Optimal transportation (49Q22)

Cites Work

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• The Monge-Ampère equation and its applications
• Free boundaries in optimal transport and Monge-Ampère obstacle problems
• Partial regularity of Brenier solutions of the Monge-Ampère equation
• An elementary proof of the polar factorization of vector-valued functions
• A Monge-Ampere equation with an unusual boundary condition
• The Regularity of Mappings with a Convex Potential
• On a Model of Forced Axisymmetric Flows

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