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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Selected topics on the borderline of nonlinear PDEs and geometric measure theory

2016/21/B/ST1/03138

Keywords:

nonlinear PDE harmonic and p-harmonic maps singular sets regularity stability typical phenomena

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 :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Paweł Strzelecki 

Number of co-investigators in the project: 3

Call: OPUS 11 - announced on 2016-03-15

Amount awarded: 268 700 PLN

Project start date (Y-m-d): 2017-02-01

Project end date (Y-m-d): 2021-01-31

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. iPad Mini 5 (1 899 PLN)
  2. Komputer typu desktop (8 700 PLN)

Information in the final report

  • Publication in academic press/journals (3)
  1. $H$-systems and $n$-harmonic maps with $n/2$ square integrable derivatives
    Authors:
    Michał Miśkiewicz, Bogdan Petraszczuk, Paweł Strzelecki
    Academic press:
    Analysis and PDE , Wydawca: Mathematical Sciences Publishers
    Status:
    Submitted
    DOI:
    brak - link to the publication
  2. On Hoelder regularity of the singular set of energy minimizing harmonic maps into closed manifolds
    Authors:
    Michał Miśkiewicz
    Academic press:
    Calculus of Variations and PDE (rok: 2020, tom: 59, strony: 45306), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s00526-019-1685-y - link to the publication
  3. On the size of the singular set of minimizing harmonic maps
    Authors:
    Katarzyna Mazowiecka, Michał Miśkiewicz, Armin Schikorra
    Academic press:
    Memoirs of the AMS (), Wydawca: The American Mathematical Society
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication

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