Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Measure oriented approach to nonlinear PDE's and variational problems

2019/33/B/ST1/00535

Keywords:

nonlinear elliptic and parabolic problems calculus of variations geometric measure theory

Descriptors:

  • ST1_8: Analysis
  • 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.

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Anna Maria Zatorska-Goldstein 

Number of co-investigators in the project: 4

Call: OPUS 17 - announced on 2019-03-15

Amount awarded: 330 200 PLN

Project start date (Y-m-d): 2020-01-30

Project end date (Y-m-d): 2024-09-29

Project duration:: 56 months (the same as in the proposal)

Project status: Project completed

Project description

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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 (7)
  1. Wolff potentials and measure data vectorial problems with Orlicz growth
    Authors:
    Chlebicka, Iwona; Youn, Yeonghun; Zatorska-Goldstein, Anna
    Academic press:
    Calc. Var. Partial Differential Equations (rok: 2023, tom: 62, strony: 41 pp.), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-022-02402-5 - link to the publication
  2. Wolff potentials and measure data vectorial problems with Orlicz growth
    Authors:
    Chlebicka, Iwona; Youn, Yeonghun; Zatorska-Goldstein, Anna
    Academic press:
    Calc. Var. Partial Differential Equations (rok: 2023, tom: 62, strony: 41 pp.), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-022-02402-5 - link to the publication
  3. Generalized Superharmonic Functions with Strongly Nonlinear Operator
    Authors:
    Iwona Chlebicka, Anna Zatorska-Goldstein
    Academic press:
    Potential Analysis (rok: 2021, ), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11118-021-09920-5 - link to the publication
  4. Parabolic PDEs on low-dimensional structures
    Authors:
    Łukasz Chomienia
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2024, tom: Volume 534, Issue 2, 15 June 2024, strony: 45687), Wydawca: Science Direct
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2024.128082 - link to the publication
  5. Generalized Superharmonic Functions with Strongly Nonlinear Operator
    Authors:
    Iwona Chlebicka, Anna Zatorska-Goldstein
    Academic press:
    Potential Analysis (rok: 2021, ), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11118-021-09920-5 - link to the publication
  6. Generalized Superharmonic Functions with Strongly Nonlinear Operator
    Authors:
    Iwona Chlebicka, Anna Zatorska-Goldstein
    Academic press:
    Potential Analysis (rok: 2021, ), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11118-021-09920-5 - link to the publication
  7. The free material design problem for the stationary heat equation on low dimensional structure
    Authors:
    Tomasz Lewiński, Piotr Rybka, Anna Zatorska-Goldstein
    Academic press:
    Nonlinearity (rok: 2023, tom: Volume 36, Number 8, strony: 4501–4521), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1088/1361-6544/ace303 - link to the publication

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