Estimates for solutions of Monge-Ampere type equations in the geometriccontext
2021/41/B/ST1/01632
Keywords
Descriptors
- ST1_011: Równania różniczkowe cząstkowe
- ST1_004: Geometria algebraiczna i zespolona
Panel
ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics
Host institution
Uniwersytet Jagielloński, Wydział Matematyki i Informatyki
Voivodeship: małopolskie
Principal investigator (from the host institution)
Number of co-investigators in the project: 3
Call
OPUS 21 – announced on 2021-03-15
- Amount awarded
- 480 600 PLN
- Project start date
- 2022-01-18
- Project end date
- 2027-01-17
- Project duration
- 60 months (the same as in the proposal)
- Project status
- Pending project
Project description
Download the project description in a pdf file
Note — project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.
Information in the final report
Publication in academic press/journals (8)
-
A variational approach to SKT and balanced metrics
- Authors:
- Sławomir Dinew, Dan Popovici
- Academic press:
- Journal de Mathématiques Pures et Appliquées (year: 2023, volume: 175, pages: 237–268), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.matpur.2023.05.008 – link to the publication
-
A SPECIAL CONCAVITY PROPERTY FOR POSITIVE HESSIAN QUOTIENT OPERATORS
- Authors:
- Pengfei Guan, Marcin Sroka
- Academic press:
- Discrete and Continuous Dynamical Systems (year: 2025, volume: early access, pages: 46033), Publisher: AIMS
- Status:
- Published
- DOI:
- 10.3934/dcds.2025181 – link to the publication
-
Remarks on Hessian quotient equations on Riemannian manifolds
- Authors:
- Marci Sroka
- Academic press:
- Journal of Functional Analysis (year: 2025, volume: 289, pages: article 111123), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jfa.2025.111123 – link to the publication
-
COMPLEX HESSIAN MEASURES WITH RESPECT TO A BACKGROUND HERMITIAN FORM
- Authors:
- Sławomir Kołodziej, Ngoc Cuong Nguyen
- Academic press:
- Analysis & PDE (year: 2026, volume: 19, pages: 107-166), Publisher: MSP
- Status:
- Published
- DOI:
- 10.2140/apde.2026.19.107 – link to the publication
-
The Dirichlet problem for the Monge–Ampère equation on Hermitian manifolds with boundary
- Authors:
- Sławomir Kołodziej, Cuong Ngoc Nguyen
- Academic press:
- Calculus of Variations and Partial Differential Equations (year: 2023, volume: 2,58402777777778, pages: 14246), Publisher: Springer Nature
- Status:
- Published
- DOI:
- 10.1007/s00526-022-02336-y – link to the publication
-
A remark on the Hölder regularity of solutions to the complex Hessian equation
- Authors:
- Sławomir Kołodziej, Ngoc Cuong Nguyen
- Academic press:
- Journal of Functional Analysis (year: 2025, volume: 289, pages: Article 111005), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jfa.2025.111005 – link to the publication
-
Weak Solutions to Monge–Ampère Type Equations on Compact Hermitian Manifold with Boundary
- Authors:
- Sławomir Kołodziej, Ngoc Cuong Nguyen
- Academic press:
- The Journal of Geometric Analysis (year: 2023, volume: 33, pages: 15p), Publisher: Springer Nature
- Status:
- Published
- DOI:
- 10.1007/s12220-022-01054-3 – link to the publication
-
A remark on Oka's lemma and a geometric property of pseudoconvex domains
- Authors:
- Sławomir Dinew, Żywomir Dinew
- Academic press:
- The Journal of Geometric Analysis (year: 2024, volume: 34, pages: 23 pp), Publisher: Springer Nature
- Status:
- Published
- DOI:
- 10.1007/s12220-023-01472-x – link to the publication
Book publications / chapters in book publications (1)
-
Weak Convergence of Monge-Ampère Measures on Compact Hermitian Manifolds
- Authors:
- Sławomir Kołodziej, Ngoc Cuong Nguyen
- Book:
- Springer Proceedings in Mathematics & Statistics, Complex Geometric Analysis (year: 2025, volume: 481, pages: 113-124), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/978-981-96-0447-0 – link to the publication