Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Monge-Ampere type equations and its applications

2017/27/B/ST1/01145

Keywords:

Monge-Ampere equations Hessian equations Kahler manifolds

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_4: Algebraic and complex geometry

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

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Sławomir Kołodziej 

Number of co-investigators in the project: 4

Call: OPUS 14 - announced on 2017-09-15

Amount awarded: 563 200 PLN

Project start date (Y-m-d): 2018-07-26

Project end date (Y-m-d): 2022-07-25

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

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.

Equipment purchased [PL]

  1. Tablet (6 000 PLN)
  2. Drukarka (2 000 PLN)
  3. Notebook (2 szt.) (12 000 PLN)

Information in the final report

  • Publication in academic press/journals (10)
  1. Regularity of solutions to the quaternionic Monge-Ampere equation
    Authors:
    Sławomir Kołodziej, Marcin Sroka
    Academic press:
    J GEOM ANAL (rok: 2020, tom: 30, strony: 2852-2864), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s12220-020-00394-2 - link to the publication
  2. The complex Sobolev space and Hölder continuous solutions to Monge–Ampère equations
    Authors:
    Tien-Cuong Dinh, Sławomir Kołodziej, Ngoc Cuong Nguyen
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2022, tom: 54, strony: 772-790), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms.12600 - link to the publication
  3. Uniform Estimates for Concave Homogeneous Complex Degenerate Elliptic Equations Comparable to the Monge-Amp'ere Equation
    Authors:
    Soufian Abja, Sławomir Dinew, Guillaume Olive
    Academic press:
    Potential Analysis (rok: 2022, ), Wydawca: Springer Nature
    Status:
    Accepted for publication
    DOI:
    10.1007/s11118-022-10009-w - link to the publication
  4. A Remark on the Continuous Subsolution Problem for the Complex Monge-Ampere Equation
    Authors:
    Slawomir Kolodziej, Ngoc Cuong Nguyen
    Academic press:
    Acta Vietnamica (rok: 2020, tom: 45, strony: 83-91), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s40306-019-00347-0 - link to the publication
  5. A Generalised Volume Invariant for Aeppli Cohomology Classes of Hermitian-Symplectic Metrics
    Authors:
    Sławomir Dinew, Dan Popovici
    Academic press:
    Advances in Mathematics (rok: 2021, tom: 393, strony: 48 pp), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2021.108056 - link to the publication
  6. Continuous solutions to Monge–Ampère equations on Hermitianmanifolds formeasures dominated by capacity
    Authors:
    Sławomir Kołodziej, Ngoc Cuong Nguyen
    Academic press:
    Calc. Var. Partial Differential Equations (rok: 2021, tom: 60:93, strony: 45309), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s00526-021-01944-4 - link to the publication
  7. EQUIDISTRIBUTION OF NON-PLURIPOLAR PRODUCTS ASSOCIATED WITH QUASI-PLURISUBHARMONIC FUNCTIONS OF FINITE ENERGY
    Authors:
    TAEYONG AHN AND NGOC CUONG NGUYEN
    Academic press:
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (rok: 2020, tom: 148, strony: 719-729), Wydawca: AMERICAN MATHEMATICAL SOCIETY
    Status:
    Published
    DOI:
    10.1090/proc/14725 - link to the publication
  8. Morse-type integrals on non- Kahler manifolds
    Authors:
    Slawomir Kolodziej, Valentino Tosatti
    Academic press:
    Pure and Applied Mathematics Quarterly (rok: 2021, tom: 17, strony: 991-1004), Wydawca: International Press
    Status:
    Published
    DOI:
    brak - link to the publication
  9. The C^0 estimate for the quaternionic Calabi conjecture
    Authors:
    Marcin Sroka
    Academic press:
    ADV MATH (rok: 2020, tom: 370, strony: Article 107237), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2020.107237 - link to the publication
  10. Weak solutions to the quaternionic Monge-Ampere equation
    Authors:
    Marcin Sroka
    Academic press:
    Analysis&PDE (rok: 2020, tom: 13 (6), strony: 1755-1776), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/apde.2020.13.1755 - link to the publication

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