Universität zu Köln

Do, Hoang-Son and Vu, Duc-Viet ORCID: 0000-0002-0532-4966 (2025). Quantitative stability for the complex Monge-Ampère equations II. Calculus of Variations and Partial Differential Equations, 64 (8). pp. 1-37. Springer Nature. ISSN 0944-2669

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Abstract

[Artikel-Nr.: 269] 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.

Item Type:	Article
Creators:	Creators Email ORCID ORCID Put Code Do, Hoang-Son UNSPECIFIED UNSPECIFIED UNSPECIFIED Vu, Duc-Viet UNSPECIFIED https://orcid.org/0000-0002-0532-4966 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-801443
Identification Number:	10.1007/s00526-025-03135-x
Journal or Publication Title:	Calculus of Variations and Partial Differential Equations
Volume:	64
Number:	8
Page Range:	pp. 1-37
Number of Pages:	37
Date:	24 November 2025
Publisher:	Springer Nature
ISSN:	0944-2669
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	Mathematics
['eprint_fieldname_oa_funders' not defined]:	Publikationsfonds UzK
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/80144