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–Ampère equation. This proof also applies to the complex Monge–Ampère equation and the $k$-Hessian equation.
Funding Statement
The first author was supported by ARC FL130100118 and DP170100929.
Citation
Xu-Jia Wang. Yating Wu. "New proof for the regularity of Monge–Ampère type equations." J. Differential Geom. 116 (3) 543 - 553, November 2020. https://doi.org/10.4310/jdg/1606964417
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