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arXiv · 2302.02973

A gradient estimate for the Hermitian Monge-Amp\`ere equation

Abdellah Hanani
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Abstract

We improve our previous gradient estimate for the Monge-Amp\`ere equation on a compact Hermitian manifold and give a estimates for the non-mixed second order derivatives. These estimates are required to apply either the Evans-Krylov estimates for second order derivatives or the third derivatives estimates for equations with a gradient term.

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Abdellah Hanani. 2023-02-06. A gradient estimate for the Hermitian Monge-Amp\`ere equation. https://arxiv.org/abs/2302.02973

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