Boundary \(C^{1, \alpha}\) regularity of potential functions in optimal transportation with quadratic cost

DOI10.2140/APDE.2016.9.1483zbMath1350.35049OpenAlexW2527765918MaRDI QIDQ325831

Shibing Chen, Elina R. Andriyanova

Publication date: 11 October 2016

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/apde.2016.9.1483

zbMATH Keywords

optimal transport

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) 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 (2)

C2,α$C^{2,\alpha }$ regularity of free boundaries in optimal transportation ⋮ On the Dirichlet problem for degenerate Monge-Ampère type equations

This page was built for publication: Boundary \(C^{1, \alpha}\) regularity of potential functions in optimal transportation with quadratic cost