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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Nonlinear equations and geometric analysis

2017/26/E/ST1/00955

Keywords:

Nonlinear PDEs geometric analysis regularity singular sets

Descriptors:

  • 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 :

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Sławomir Dinew 

Number of co-investigators in the project: 4

Call: SONATA BIS 7 - announced on 2017-06-14

Amount awarded: 1 470 700 PLN

Project start date (Y-m-d): 2018-04-26

Project end date (Y-m-d): 2021-09-25

Project duration:: 41 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. 4 laptopy z oprogramowaniem (14 000 PLN)

Information in the final report

  • Publication in academic press/journals (10)
  1. Alexandrov-Bakelman-Pucci type estimate for plurisubharmonic functions
    Authors:
    Slawomir Dinew, Zywomir Dinew
    Academic press:
    International Mathematics Research Notices (rok: 2022, tom: 1, strony: 486-505), Wydawca: Oxford Univ. Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnaa151 - link to the publication
  2. Local regularity for concave homogeneous complex degenerate elliptic equations dominating the Monge–Ampère equation
    Authors:
    Soufian Abja, Guillaume Olive
    Academic press:
    Annali di Matematica Pura ed Applicata (rok: 2022, tom: 201, strony: 561-587), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10231-021-01129-y - link to the publication
  3. Regularity of geodesics in the spaces of convex and plurisubharmonic functions
    Authors:
    Soufian Abja, Slawomir Dinew
    Academic press:
    Transactions of the American Mathematical Society (rok: 2021, tom: 374, strony: 3783–3800), Wydawca: American Mathematical Society AMS
    Status:
    Published
    DOI:
    10.1090/tran/8350 - link to the publication
  4. Interior estimates for p-plurisubharmonic functions
    Authors:
    Slawomir Dinew
    Academic press:
    Indiana University Mathematics Journal , Wydawca: Indiana University
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  5. m-subharmonic and m-plurisubharmonic functions -- on two problems of Sadullaev
    Authors:
    Slawomir Dinew
    Academic press:
    Annales de la faculte des sciences de Toulouse (tom: b.d., strony: b.d.), Wydawca: CNRS, Université Paul Sabatier and l'Institut de Mathéamtique de Toulouse
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  6. On a problem of Chirka
    Authors:
    Sławomir Dinew Żywomir Dinew
    Academic press:
    Proceedings of the AMS (rok: 2022, tom: 150, strony: 2115-2119), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/proc/15898 - link to the publication
  7. HKT from HK metrics
    Authors:
    Sławomir Dinew Marcin Sroka
    Academic press:
    Journal of Differential Geometry (tom: b.d., strony: b.d.), Wydawca: International Press Boston
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. Uniform estimates for concave homogeneous complex degenerate elliptic equations comparable to the Monge-Ampère equation
    Authors:
    Soufian Abja, Slawomir Dinew, Guillaume Olive
    Academic press:
    Potential Analysis , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  9. Viscosity solutions to complex first eigenvalue equations
    Authors:
    Soufian Abja
    Academic press:
    Complex Variables and elliptic equations (rok: 2022, tom: b.d., strony: b.d.), Wydawca: Taylor &Francis
    Status:
    Accepted for publication
    DOI:
    10.1080/17476933.2021.2020261 - link to the publication
  10. Rado- type theorem for subharmonic and plurisubharmonic functions
    Authors:
    Sławomir Dinew, Żywomir Dinew
    Academic press:
    Potential Anlysis (tom: b.d., strony: ), Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication

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