Mathematics in Engineering (Jun 2023)

A monotonicity approach to Pogorelov's Hessian estimates for Monge- Ampère equation

  • Yu Yuan

DOI
https://doi.org/10.3934/mine.2023037
Journal volume & issue
Vol. 5, no. 2
pp. 1 – 6

Abstract

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We present an integral approach to Pogorelov's Hessian estimates for the Monge-Ampère equation, originally obtained via a pointwise argument.

Keywords