Strict convexity and \(C^{1,\alpha}\) regularity of potential functions in optimal transportation under condition A3w

DOI10.1016/j.jde.2015.09.047zbMath1366.49055OpenAlexW1675852389MaRDI QIDQ890221

Xu-Jia Wang, Shibing Chen

Publication date: 9 November 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.09.047

zbMATH Keywords

regularitystrict convexityoptimal transportation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational problems in a geometric measure-theoretic setting (49Q20) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Monge-Ampère equations (35J96)

Related Items (6)

The Monge–Ampère equation and its link to optimal transportation ⋮ Strict g-Convexity for Generated Jacobian Equations with Applications to Global Regularity ⋮ A REMARK ON THE GEOMETRIC INTERPRETATION OF THE A3W CONDITION FROM OPTIMAL TRANSPORT ⋮ C2,α$C^{2,\alpha }$ regularity of free boundaries in optimal transportation ⋮ Strict convexity and \(C^1\) regularity of solutions to generated Jacobian equations in dimension two ⋮ Optimal transport with discrete long-range mean-field interactions

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