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

Wang, Xu-JiaWu, Yating2022-10-130022-040Xhttp://hdl.handle.net/1885/274553By 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.application/pdfen-AU© 2020 The authorsMonge–Ampère equationregularityA new proof for the regularity of Monge-Ampere type equations202010.4310/JDG/16069644172021-11-28