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arXiv · 1706.07392

An analytic proof of the Krylov estimates for the complex Monge-Ampere equation and applications

Slawomir Dinew·Szymon Plis
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Abstract

We provide an analytic proof of a theorem of Krylov dealing with global $C^{1,1}$ estimates to solutons of degenerate complex Monge-Amp\`ere equations. As an application we show optimal regularity for various extremal functions with nonconstant boundary values.

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Slawomir Dinew, Szymon Plis. 2017-06-22. An analytic proof of the Krylov estimates for the complex Monge-Ampere equation and applications. https://arxiv.org/abs/1706.07392

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