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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Nonlinear differential problems in generalised Sobolev and Orlicz spaces

2016/23/D/ST1/01072

Keywords:

existence of solutions parabolic and elliptic problems properties of solutions nonexistence weighted Sobolev spaces Musielak-Orlicz spaces

Descriptors:

  • 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 hab. Iwona Chlebicka 

Number of co-investigators in the project: 1

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

Amount awarded: 153 350 PLN

Project start date (Y-m-d): 2017-08-03

Project end date (Y-m-d): 2022-08-02

Project duration:: 60 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. laptop (4 500 PLN)
  2. drukarka wielofunkcyjna (1 300 PLN)

Information in the final report

  • Publication in academic press/journals (13)
  1. A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces
    Authors:
    I. Chlebicka
    Academic press:
    Nonlinear Analysis (rok: 2018, tom: 175, strony: 45318), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2018.05.003 - link to the publication
  2. Parabolic equation in time and space dependent anisotropic Musielak-Orlicz spaces in absence of Lavrentiev's phenomenon
    Authors:
    I. Chlebicka, P. Gwiazda, A. Zatorska-Goldstein
    Academic press:
    Annales de l'Institut Henri Poincare. Analyse Non Lineaire (C) (rok: 2019, tom: 36 (5), strony: 1431-1465), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.anihpc.2019.01.003 - link to the publication
  3. Regularizing effect of the lower-order terms in elliptic problems with Orlicz growth
    Authors:
    Iwona Chlebicka
    Academic press:
    Israel Journal of Mathematics (rok: 2020, tom: 236, strony: 967-1000), Wydawca: Hebrew University of Jerusalem
    Status:
    Published
    DOI:
    10.1007/s11856-020-1995-y - link to the publication
  4. Boundary regularity for manifold constrained p(x)-harmonic maps
    Authors:
    Iwona Chlebicka, Cristiana De Filippis, Lukas Koch
    Academic press:
    Journal of London Mathematical Society (rok: 2021, tom: 104, strony: 2335-2375), Wydawca: London Math. Soc. Wiley
    Status:
    Published
    DOI:
    10.1112/jlms.12499 - link to the publication
  5. Fully anisotropic elliptic problems with minimally integrable data
    Authors:
    A. Alberico, I. Chlebicka, A. Cianchi, A. Zatorska-Goldstein
    Academic press:
    Calc. Var. PDEs (rok: 2019, tom: 58, strony: 186), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s00526-019-1627-8 - link to the publication
  6. Existence of renormalized solutions to elliptic equation in Musielak-Orlicz space
    Authors:
    P. Gwiazda, I. Skrzypczak, A. Zatorska-Goldstein
    Academic press:
    J. Differ. Equations (rok: 2018, tom: 264(1), strony: 341-377), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2017.09.007 - link to the publication
  7. Well-posedness of parabolic equations in the non-reflexive and anisotropic Musielak–Orlicz spaces in the class of renormalized solutions
    Authors:
    Iwona Chlebicka, Piotr Gwiazda, Anna Zatorska-Goldstein
    Academic press:
    J. Differ. Equations (rok: 2018, tom: 265(11), strony: 5716-5766), Wydawca: Elsevier
    Status:
    Published
    DOI:
    j.jde.2018.07.020 - link to the publication
  8. Gradient estimates for problems with Orlicz growth
    Authors:
    I. Chlebicka
    Academic press:
    Nonlinear Analysis (rok: 2020, tom: 194, strony: 111364), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.008 - link to the publication
  9. Measure data elliptic problems with generalized Orlicz growth
    Authors:
    Iwona Chlebicka
    Academic press:
    Proceedings of the Royal Society of Edinburgh Section A: Mathematics (rok: 2022, tom: -, strony: -), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/prm.2022.6 - link to the publication
  10. Removable sets in elliptic equations with Musielak-Orlicz growth
    Authors:
    I. Chlebicka, A. Karppinen
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2020, tom: bd., strony: bd.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2020.124073 - link to the publication
  11. Renormalized solutions to parabolic equations in time and space dependent anisotropic Musielak–Orlicz spaces in absence of Lavrentiev's phenomenon
    Authors:
    I. Chlebicka, P. Gwiazda, A. Zatorska-Goldstein
    Academic press:
    J. Differ. Equations (rok: 2019, tom: 267 (2), strony: 1129-1166), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2019.02.005 - link to the publication
  12. Essentially fully anisotropic Orlicz functions anduniqueness to measure data problem
    Authors:
    Iwona Chlebicka, Piotr Nayar
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2021, tom: -, strony: 45316), Wydawca: Wiley Online Library
    Status:
    Published
    DOI:
    10.1002/mma.7278 - link to the publication
  13. Removable sets in non-uniformly elliptic problems
    Authors:
    Iwona Chlebicka, Cristiana De Filippis
    Academic press:
    Annali di Matematica Pura ed Applicata (1923 -) (rok: 2019, tom: bd., strony: bd.), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s10231-019-00894-1 - link to the publication

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