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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Systems of nonlinear elliptic equations: regularity of solutions, structure of singularities and related topics

2012/07/B/ST1/03366

Keywords:

harmonic and biharmonic maps Sobolev spaces nonlinear elliptic equations rectifiability

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: 2

Call: OPUS 4 - announced on 2012-09-15

Amount awarded: 148 440 PLN

Project start date (Y-m-d): 2013-07-04

Project end date (Y-m-d): 2016-07-03

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

Project status: Project settled

Equipment purchased [PL]

  1. lekki, szybki komputer przenośny (5 700 PLN)

Information in the final report

  • Publication in academic press/journals (3)
  1. A conditional regularity result for p-harmonic flows
    Authors:
    K. Kazaniecki, M. Łasica, K. Mazowiecka, P. Strzelecki
    Academic press:
    Nonlinear Differential Equations and Applications (NODEA) (rok: 2016, tom: 0,964583333333333, strony: 45304), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00030-016-0369-y - link to the publication
  2. Invitation to H-systems in higher dimensions: known results, new facts, and related open problems
    Authors:
    A.Schikorra, P.Strzelecki
    Academic press:
    European Mathematical Society Surveys in Mathematical Sciences (EMSS) (rok: 2017, tom: 4, strony: 21-42), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/EMSS/4-1-2 - link to the publication
  3. The Lavrentiev gap phenomenon for harmonic maps into spheres holds on a dense set of zero degree boundary data
    Authors:
    K. Mazowiecka, P. Strzelecki
    Academic press:
    Advances in Calculus of Variations (rok: 2017, tom: 10(3), strony: 303-314), Wydawca: Walter de Gruyter
    Status:
    Published
    DOI:
    10.1515/acv-2015-0040 - link to the publication

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