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arXiv · 2507.21729

A priori estimates for the complex Monge-Amp\`ere equation after Krylov

Sławomir Dinew·Marcin Sroka
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Abstract

We establish an analytic proof for the Krylov $C^{1,1}$ estimates for solutions of degenerate complex Monge-Amp\`ere equation. We also provide an analytic proof of the Bedford-Taylor interior $C^{1,1}$ estimate.

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Sławomir Dinew, Marcin Sroka. 2025-07-29. A priori estimates for the complex Monge-Amp\`ere equation after Krylov. https://arxiv.org/abs/2507.21729

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