Boundary $C^{1,\alpha}$ regularity of an optimal transport problem with cost close to $-x\cdot y$

DOI10.1137/140993089zbMath1325.35046OpenAlexW902949404MaRDI QIDQ5264062

Shibing Chen

Publication date: 20 July 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140993089

zbMATH Keywords

perturbationHölder regularityoptimal transportboundary regularity

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Set functions and measures on spaces with additional structure (28C99)

Related Items (2)

Partial \(W^{2,p}\) regularity for optimal transport maps ⋮ Global regularity of optimal mappings in non-convex domains

Cites Work

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