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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Geometric methods and problems in nonlinear elliptic PDE's

2012/05/E/ST1/03232

Keywords:

nonlinear elliptic partial differential equations with critical growth subelliptic equations calculus of variations geometric function theory

Descriptors:

  • ST1_11:
  • ST1_8:

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 Anna Maria Zatorska-Goldstein 

Number of co-investigators in the project: 2

Call: SONATA BIS 1 - announced on 2012-03-15

Amount awarded: 342 450 PLN

Project start date (Y-m-d): 2013-02-14

Project end date (Y-m-d): 2018-02-13

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Urządzenie wielofunkcyjne (drukarka+skaner) (2 500 PLN)
  2. Komputer przenośny (7 500 PLN)
  3. Oprogramowanie WinEdt (300 PLN)

Information in the final report

  • Publication in academic press/journals (17)
  1. Fractional differentiability for solutions of the inhomogeneous p-Laplace systems
    Authors:
    Michał Miśkiewicz
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2018, tom: 146, strony: 3009-3017), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/13993 - link to the publication
  2. Well-posedness of parabolic equations in the non-reflexive and anisotropic Musielak-Orlicz spaces in the class of renormalized solutions
    Authors:
    Piotr Gwiazda, Iwona Skrzypczak, Anna Zatorska-Goldstein
    Academic press:
    Journal of Differential Equations (rok: 2018, tom: 265 (11), strony: 5716-5766), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2017.09.007 - link to the publication
  3. Discrete Reifenberg-type theorem
    Authors:
    Michał Miśkiewicz
    Academic press:
    Annales Academiae Scientiarum Fennicae (rok: 2018, tom: 43, strony: 45735), Wydawca: Academia Scientiarum Fennica
    Status:
    Published
    DOI:
    10.5186/aasfm.2018.4301 - link to the publication
  4. Topologically nontrivial counterexamples to the Sard theorem
    Authors:
    Paweł Goldstein, Piotr Hajłasz, Pekka Pankka
    Academic press:
    International Mathematics Research Notices (rok: 2018, tom: rmy179, strony: 45681), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rny179 - link to the publication
  5. On one extension theorem dealing with weighted Orlicz-Slobodetskii space. Analysis on Lipschitz subgraph and Lipschitz domain
    Authors:
    Raj Narayan Dhara, Agnieszka Kałamajska
    Academic press:
    Mathematical Inequalities and Applications (rok: 2016, tom: 19 no. 2, strony: 451-488), Wydawca: Element, Zagreb
    Status:
    Published
    DOI:
    10.7153/mia-19-36 - link to the publication
  6. $C^1$ mappings in $R^5$ with derivative of rank at most 3 cannot be uniformly approximated by $C^2$ mappings with derivative of rank at most 3.
    Authors:
    Paweł Goldstein, Piotr Hajłasz
    Academic press:
    J. Math. Anal. Appl. (rok: 2018, tom: 468 (2), strony: 1108-1114), Wydawca: Elsevier, Inc.
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.08.060 - link to the publication
  7. Existence of renormalized solutions to elliptic equation in Musielak-Orlicz space
    Authors:
    Piotr Gwiazda, Iwona Skrzypczak, Anna Zatorska-Goldstein
    Academic press:
    Journal of Differential Equations (rok: 2018, tom: 264, strony: 341-377), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2017.09.007 - link to the publication
  8. Uhlenbeck's decomposition in Sobolev and Morrey-Sobolev spaces
    Authors:
    Paweł Goldstein, Anna Zatorska-Goldstein
    Academic press:
    Results in Mathematics (rok: 2018, tom: 73(2), strony: Art. 71, 31pp.), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00025-018-0830-9 - link to the publication
  9. Existence to nonlinear parabolic problems with unbounded weights
    Authors:
    Iwona Skrzypczak, Anna Zatorska-Goldstein
    Academic press:
    Journal of Evolutionary Equations (rok: 2019, tom: 19 (1), strony: 45676), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00028-018-0465-z - link to the publication
  10. A weak compactness result for critical elliptic systems of n-harmonic type
    Authors:
    Michał Miśkiewicz
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2016, tom: 439, strony: 370-384), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2016.02.059 - link to the publication
  11. Uhlenbeck's decomposition in Sobolev and Morrey-Sobolev spaces
    Authors:
    Paweł Goldstein, Anna Zatorska-Goldstein
    Academic press:
    Results in Mathematics (rok: 2018, tom: 73(2), strony: Art. 71, 31pp.), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00025-018-0830-9 - link to the publication
  12. $C^1$ mappings in $R^5$ with derivative of rank at most 3 cannot be uniformly approximated by $C^2$ mappings with derivative of rank at most 3.
    Authors:
    Paweł Goldstein, Piotr Hajłasz
    Academic press:
    J. Math. Anal. Appl. (rok: 2018, tom: 468 (2), strony: 1108-1114), Wydawca: Elsevier, Inc.
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.08.060 - link to the publication
  13. Finite Distortion Sobolev Mappings between Manifolds are Continuous
    Authors:
    Paweł Goldstein, Piotr Hajłasz, Mohammad Reza Pakzad
    Academic press:
    International Mathematics Research Notices (rok: 2019, tom: 14, strony: 4370-4391), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnx251 - link to the publication
  14. A weak compactness result for critical elliptic systems of n-harmonic type
    Authors:
    Michał Miśkiewicz
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2016, tom: 439, strony: 370-384), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2016.02.059 - link to the publication
  15. On one extension theorem dealing with weighted Orlicz-Slobodetskii space. Analysis on cube
    Authors:
    Raj Narayan Dhara, Agnieszka Kałamajska
    Academic press:
    Mathematical Inequalities and Applications (rok: 2015, tom: 18 no. 1,., strony: 61–89), Wydawca: ELEMENT, Zagreb
    Status:
    Published
    DOI:
    10.7153/mia-18-04 - link to the publication
  16. On equivalent conditions for the validity of Poincaré inequality on weighted Sobolev space with applications to the solvability of degenerated PDEs involving p-Laplacian
    Authors:
    Raj Narayan Dhara, Agnieszka Kałamajska
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 432 (1), strony: 463-483), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.06.068 - link to the publication
  17. Topological obstructions to continuity of Orlicz-Sobolev mappings of finite distortion
    Authors:
    Paweł Goldstein, Piotr Hajłasz
    Academic press:
    Annali di Matematica Pura ed Applicata (rok: 2019, tom: 198 (4) no. 1, strony: 243-262), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10231-018-0771-7 - link to the publication

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