W3,p Estimate of Degenerate Complex Monge-Ampère Equations

Jianchun Chu; Feng Wang

doi:10.4208/jms.v58n4.25.04

Journal of Mathematical Study ›› 2025, Vol. 58 ›› Issue (4) :459 -478. DOI: 10.4208/jms.v58n4.25.04

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

Jianchun Chu ¹^,^*
, Feng Wang ²^,^*

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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.

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Complex Monge-Ampère equations / Kähler manifolds

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Jianchun Chu, Feng Wang. W^3,p Estimate of Degenerate Complex Monge-Ampère Equations. Journal of Mathematical Study, 2025, 58(4): 459-478 DOI:10.4208/jms.v58n4.25.04