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arXiv · 2201.13330

Gradient estimate for complex Monge-Ampere equation with continuous right hand side

Xiuxiong Chen·Jingrui Cheng
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Abstract

In this note, we consider complex Monge-Ampere equation posed on a compact K\"ahler manifold. We show how to get $L^p$($p<\infty$) and $L^{\infty}$ estimate for the gradient of the solution in terms of the continuity of the right hand side.

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Xiuxiong Chen, Jingrui Cheng. 2022-01-31. Gradient estimate for complex Monge-Ampere equation with continuous right hand side. https://arxiv.org/abs/2201.13330

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