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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Pointwise regularity theory for sets, measures, and varifolds

2016/23/D/ST1/01084

Keywords:

rectifibility beta numbers Lusin approximation height-excess minimal surfaces Sobolev-Slobodeckij spaces pointwise regularity

Descriptors:

  • ST1_8: Analysis
  • ST1_17: Applied mathematics
  • ST1_11: Partial differential equations

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):

dr Sławomir Kolasiński 

Number of co-investigators in the project: 3

Call: SONATA 12 - announced on 2016-09-15

Amount awarded: 229 600 PLN

Project start date (Y-m-d): 2017-07-18

Project end date (Y-m-d): 2021-07-17

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 Samsung Galaxy TAB S6.
  2. Laptop dla kierownika projektu (6 000 PLN)

Information in the final report

  • Publication in academic press/journals (3)
  1. Equivalence of the ellipticity conditions for geometric variational problems.
    Authors:
    Antonio De Rosa, Sławomir Kolasiński
    Academic press:
    Communications on Pure and Applied Mathematics (rok: 2020, tom: 73, strony: 2473--2515), Wydawca: WILEY, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA
    Status:
    Published
    DOI:
    10.1002/cpa.21890 - link to the publication
  2. Regularity of distance functions from arbitrary closed sets
    Authors:
    Sławomir Kolasiński, Mario Santilli
    Academic press:
    Mathematische Annalen , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  3. Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets
    Authors:
    Antonio De Rosa, Sławomir Kolasiński, Mario Santilli
    Academic press:
    Archive for Rational Mechanics and Analysis (ARMA) (rok: 2020, tom: 238, strony: 1157--1198), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00205-020-01562-y - link to the publication

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