On proving 𝐶^{1,𝛼}_{𝑙𝑜𝑐}-estimates for convex functions

DOI10.1090/proc/16445OpenAlexW4321492393MaRDI QIDQ6106056

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Publication date: 27 June 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/16445

zbMATH Keywords

convex functionsMonge-Ampère equationHölder regularity

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Singular elliptic equations (35J75) Monge-Ampère equations (35J96)

Cites Work

• Unnamed Item
• Hölder continuity and injectivity of optimal maps
• Properties of the solutions to the Monge-Ampère equation
• The engulfing property from a convex analysis viewpoint
• APPROXIMATE BREGMAN NEAR NEIGHBORS IN SUBLINEAR TIME: BEYOND THE TRIANGLE INEQUALITY
• A note on the engulfing property and the $\Gamma ^{1+ \alpha }$-regularity of convex functions in Carnot groups
• Boundary regularity of maps with convex potentials
• Geometric properties of the sections of solutions to the Monge-Ampère equation
• Pointwise Estimates and Regularity in Geometric Optics and Other Generated Jacobian Equations
• The Monge-Ampère equation

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