A REMARK ON THE GEOMETRIC INTERPRETATION OF THE A3W CONDITION FROM OPTIMAL TRANSPORT

DOI10.1017/S0004972722001150arXiv2209.08098OpenAlexW4304806462MaRDI QIDQ6093259

Cale Rankin

Publication date: 6 September 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.08098

zbMATH Keywords

optimal transportMTW conditionA3w

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear elliptic equations (35J60) Optimal transportation (49Q22)

Related Items (1)

First and second derivative Hölder estimates for generated Jacobian equations

Cites Work

• Synthetic theory of Ricci curvature bounds
• On the regularity of solutions of optimal transportation problems
• Weak formulation of the MTW condition and convexity properties of potentials
• Strict convexity and \(C^{1,\alpha}\) regularity of potential functions in optimal transportation under condition A3w
• Regularity of potential functions of the optimal transportation problem
• On the second boundary value problem for Monge-Ampère type equations and optimal transportation

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