Regularity of optimal transport between planar convex domains
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Publication:2178468
DOI10.1215/00127094-2019-0068zbMath1440.35118arXiv1806.06252OpenAlexW3013101921MaRDI QIDQ2178468
Publication date: 11 May 2020
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.06252
Related Items (6)
On the regularity of optimal transports between degenerate densities ⋮ Sharp boundary \(\varepsilon\)-regularity of optimal transport maps ⋮ Regularity of optimal mapping between hypercubes ⋮ C2,α$C^{2,\alpha }$ regularity of free boundaries in optimal transportation ⋮ Global \(W^{2,1+\varepsilon}\) estimates for Monge-Ampère equation with natural boundary condition ⋮ Global regularity for the Monge-Ampère equation with natural boundary condition
Cites Work
- Unnamed Item
- Unnamed Item
- The Monge-Ampère equation and its applications
- Boundary regularity of maps with convex potentials. II
- Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
- A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
- Partial regularity of Brenier solutions of the Monge-Ampère equation
- Classical solvability in dimension two of the second boundary-value problem associated with the Monge-Ampère operator
- Partial regularity for optimal transport maps
- Boundary regularity for the Monge-Ampère and affine maximal surface equations
- Global 𝑊^{2,𝑝} estimates for the Monge-Ampère equation
- A variational proof of partial regularity for optimal transportation maps
- The Regularity of Mappings with a Convex Potential
- Some regularity properties of solutions of Monge Ampère equation
- Boundary regularity of maps with convex potentials
- On the second boundary value problem for equations of Monge-Ampère type.
- REGULARITY FOR MONGE-AMPERE EQUATION NEAR THE BOUNDARY
- Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation
- The Monge-Ampère equation
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