Pogorelov estimates for the Monge–Ampère equations

DOI10.1090/PROC/14400zbMath1423.35129OpenAlexW2894450769MaRDI QIDQ5377070

Juhua Shi, Feida Jiang

Publication date: 23 May 2019

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

Full work available at URL: https://doi.org/10.1090/proc/14400

zbMATH Keywords

Monge-Ampère equationPogorelov estimate

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Monge-Ampère equations (35J96)

Related Items (1)

On Neumann problem for the degenerate Monge-Ampère type equations

Cites Work

• The Monge-Ampère equation and its applications
• \(C^ 2\) a priori estimates for degenerate Monge-Ampère equations
• On Pogorelov estimates for Monge-Ampère type equations
• On the Dirichlet problem for degenerate Monge-Ampère equations.
• Elliptic partial differential equations of second order
• On interior \(C^2\)-estimates for the Monge-Ampère equation
• Some Counterexamples to the Regularity of Monge-Ampere Equations
• Interior regularity of the degenerate Monge-Ampère equation
• On Pogorelov estimates in optimal transportation and geometric optics
• The Monge-Ampère equation
• An interior estimate for convex solutions and a rigidity theorem
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