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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Pluripotential theory and the Monge-Ampère equation on almost complex manifolds

2011/01/D/ST1/04192

Keywords:

almost complex manifolds plurisubharmonic functions Monge-Ampère equation

Descriptors:

  • ST1_8: Analysis
  • ST1_11: Partial differential equations
  • ST1_5: Geometry

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Politechnika Krakowska im. Tadeusza Kościuszki, Wydział Fizyki, Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Szymon Pliś 

Number of co-investigators in the project: 1

Call: SONATA 1 - announced on 2011-03-15

Amount awarded: 102 720 PLN

Project start date (Y-m-d): 2011-12-01

Project end date (Y-m-d): 2014-11-30

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Laptop z akcesoriami (6 000 PLN)

Information in the final report

  • Publication in academic press/journals (5)
  1. On regularization of plurisubharmonic functions near boundary points
    Authors:
    Szymon Pliś
    Academic press:
    Mathematische Zeitschrift (), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s00209-015-1602-9 - link to the publication
  2. On regularization of J-plurisubharmonic functions
    Authors:
    Szymon Pliś
    Academic press:
    Comptes Rendus Mathématique. Académie des Sciences. Paris (rok: 2015, tom: 353, strony: 17-19), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.crma.2014.11.001 - link to the publication
  3. Squares of positive (p,p)-forms
    Authors:
    Zbigniew Błocki, Szymon Pliś
    Academic press:
    Comptes Rendus Mathematique (rok: 2013, tom: 351, strony: 27-32), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.crma.2013.01.009 - link to the publication
  4. Smooth approximation of plurisubharmonic functions on almost complex manifolds
    Authors:
    Reese Harvey, Blaine Lawson, Szymon Pliś
    Academic press:
    Mathematische Annalen (), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s00208-015-1348-z - link to the publication
  5. Monge-Ampere operator on four dimensional almost complex manifolds
    Authors:
    Szymon Pliś
    Academic press:
    The Journal of Geometric Analysis. (), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s12220-015-9635-1 - link to the publication

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