REGULARITY OF MONGE–AMPÈRE EQUATIONS IN OPTIMAL TRANSPORTATION

DOI10.1017/S0004972710001930zbMath1210.35137MaRDI QIDQ3080199

Jiakun Liu

Publication date: 10 March 2011

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

zbMATH Keywords

Monge-Ampère equationoptimal transportation

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Existence theories for optimal control problems involving partial differential equations (49J20) Monge-Ampère equations (35J96)

Cites Work

• Unnamed Item
• On the regularity of solutions of optimal transportation problems
• Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
• Hölder regularity of optimal mappings in optimal transportation
• Regularity of potential functions of the optimal transportation problem
• Schauder estimates for elliptic and parabolic equations
• InteriorC^2,αRegularity for Potential Functions in Optimal Transportation
• Some regularity properties of solutions of Monge Ampère equation
• Continuity Estimates for the Monge–Ampère Equation

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