Quantitative stability for the complex Monge-Ampère equations II
Abstract This is a continuation of our previous work on quantitative stability for complex Monge-Ampère equation. In the recent paper [21], we treated the stability question for fixed cohomology classes and fixed prescribed singularity types. In this work, we establish quantitative stability estimates for complex Monge-Ampère equations when both the cohomology class and the prescribed singularity vary.
Authors
- Hoang-Son Do (ORCID: https://orcid.org/0000-0002-5790-4823)
- Duc‐Viet Vu (ORCID: https://orcid.org/0000-0002-0532-4966)
Institutions
- TH Köln - University of Applied Sciences (DE)
- University of Cologne (DE)
- Vietnam Academy of Science and Technology (VN)
Publication Details
- Journal
- Calculus of Variations and Partial Differential Equations
- Published
- 2025-09-24
- DOI
- https://doi.org/10.1007/s00526-025-03135-x
- Citations
- 1
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 4.09