Stability estimates for the complex Monge-Ampère and Hessian equations

Bin Guo, Duong H. Phong, Freid Tong

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

A new proof for stability estimates for the complex Monge-Ampère and Hessian equations is given, which does not require pluripotential theory. A major advantage is that the resulting stability estimates are then uniform under general degenerations of the background metric in the case of the Monge-Ampère equation, and under degenerations to a big class in the case of Hessian equations.

Original languageEnglish (US)
Article number7
JournalCalculus of Variations and Partial Differential Equations
Volume62
Issue number1
DOIs
StatePublished - Jan 2023

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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