$W^{3,p}$ Estimate of Degenerate Complex Monge-Ampère Equations

Author(s)

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Abstract

Degenerate complex Monge-Ampère equations arise naturally in the study of geometry of singular varieties. In this paper, we prove gradient estimate and $W^{3,p}$ estimate for a class of degenerate complex Monge-Ampère equations.

Keywords:

Complex Monge-Ampère equations Kähler manifolds

Author Biographies

  • Jianchun Chu

    School of Mathematical Sciences, Peking University, Yiheyuan Road 5, Beijing 100871, China

  • Feng Wang

    School of Mathematical Sciences, Zhejiang University, Yuhangtang Road 866, Hangzhou 310000, China

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DOI

10.4208/jms.v58n4.25.04

How to Cite

$W^{3,p}$ Estimate of Degenerate Complex Monge-Ampère Equations. (2025). Journal of Mathematical Study, 58(4), 459-478. https://doi.org/10.4208/jms.v58n4.25.04