A new proof for the regularity of Monge-Ampere type equations

Wang, Xu-Jia; Wu, Yating

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A new proof for the regularity of Monge-Ampere type equations

Date

2020

Authors

Wang, Xu-Jia

Wu, Yating

Publisher

Lehigh University

Abstract

By employing the Green function, in this paper we provide a new and elementary proof for the interior regularity of solutions to the Monge-Ampere equation. This proof also applies to the complex Monge-Ampere equation and the k-Hessian equation.