On L∞ estimates for complex Monge-Ampere equations

• 成果类型: Article
• 署名作者: Guo, Bin; Phong, Duong H.; Tong, Freid
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2023.198.1.4
• 发表日期: 2023
• 页码: 393-418
• 关键词: elliptic-equations; dirichlet problem; kahler; CURVATURE; METRICS; FLOW

摘要

A PDE proof is provided for the sharp L & INFIN; estimates for the complex Monge-Ampe`re equation that had required pluripotential theory before. The proof covers both cases of fixed background as well as degenerating background metrics. It extends to more general fully non-linear equations satisfying a structural condition, and it also gives estimates of Trudinger type.