Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Singularities in nonlinear PDEs of geometric origin

2020/36/C/ST1/00050

Keywords:

nonlinear PDEs singularities harmonic maps p-harmonic maps

Descriptors:

  • ST1_011:

Panel:

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

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Michał Jan Miśkiewicz 

Number of co-investigators in the project: 1

Call: SONATINA 4 - announced on 2019-12-16

Amount awarded: 338 482 PLN

Project start date (Y-m-d): 2020-09-10

Project end date (Y-m-d): 2023-03-09

Project duration:: 30 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.

Information in the final report

  • Publication in academic press/journals (3)
  1. Regularity for solutions of H-systems and n-harmonic maps with n/2 square integrable derivatives
    Authors:
    Michał Miśkiewicz, Bogdan Petraszczuk, Paweł Strzelecki
    Academic press:
    Nonlinear Analysis (rok: 2023, tom: 232, strony: 45679), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2023.113289 - link to the publication
  2. Regularity of minimizing p-harmonic maps into spheres and sharp Kato inequality
    Authors:
    Katarzyna Mazowiecka, Michał Miśkiewicz
    Academic press:
    International Mathematics Research Notices (rok: 2023, tom: rnad139, strony: brak danych), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnad139 - link to the publication
  3. On the size of the singular set of minimizing harmonic maps
    Authors:
    Katarzyna Mazowiecka, Michał Miśkiewicz, Armin Schikorra
    Status:
    Accepted for publication