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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Geometry of solutions to elliptic PDEs and systems of elliptic PDEs.

2013/09/D/ST1/03681

Keywords:

equations and systems of PDEs p-harmonic operator critical points quasiregular mappings curvature Jacobian Harnack type inequalities maximum principles variable exponent equations

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_5: Geometry
  • ST1_6: Topology

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Instytut Matematyczny PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Tomasz Adamowicz 

Number of co-investigators in the project: 1

Call: SONATA 5 - announced on 2013-03-15

Amount awarded: 128 310 PLN

Project start date (Y-m-d): 2014-02-12

Project end date (Y-m-d): 2017-08-11

Project duration:: 42 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (5)
  1. Hölder continuity of quasiminimizers with nonstandard growth
    Authors:
    Tomasz Adamowicz, Olli Toivanen
    Academic press:
    Nonlinear Analysis: TM&A (rok: 2015, tom: 125, strony: 433-456), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2015.05.023 - link to the publication
  2. The Radó-Kneser-Choquet theorem for p-harmonic mappings between Riemannian surfaces
    Authors:
    Tomasz Adamowicz, Jarmo Jääskeläinen, Aleksis Koski
    Academic press:
    Revista Matematica Iberoamericana (rok: 2020, tom: 36(6), strony: 58), Wydawca: Eur. Math. Soc. EMS Publ. House
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  3. The boundary Harnack inequality for variable exponent p-Laplacian, Carleson estimates, barrier functions and p(.)-harmonic measures
    Authors:
    Tomasz Adamowicz, Niklas Lundström
    Academic press:
    Annali di Matematica Pura ed Applicata (rok: 2016, tom: 195(2), strony: 623-658), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10231-015-0481-3 - link to the publication
  4. Three-spheres theorem for p-harmonic mappings
    Authors:
    Tomasz Adamowicz
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2015, tom: 53(3), strony: 2377-2392), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-014-0775-0 - link to the publication
  5. The Liouville theorems for elliptic equations with nonstandard growth
    Authors:
    Tomasz Adamowicz, Przemysław Górka
    Academic press:
    Communications in Pure and Applied Analysis (rok: 2015, tom: 14(6), strony: 2377-2392), Wydawca: American Inst. Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/cpaa.2015.14.2377 - link to the publication

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