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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Curvature energies for non-smooth subsets of Euclidean spaces

2013/10/M/ST1/00416

Keywords:

integral Menger curvature knot energies rectifiability finiteness and compactness theorems geometric flows

Descriptors:

  • ST1_8: Analysis
  • ST1_5: Geometry
  • ST1_19: Other related subjects

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: 8

Call: HARMONIA 5 - announced on 2013-06-14

Amount awarded: 425 880 PLN

Project start date (Y-m-d): 2014-06-13

Project end date (Y-m-d): 2018-02-12

Project duration:: 44 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (8)
  • Book publications / chapters in book publications (1)
  1. Compactness and isotopy finiteness for submanifolds with uniformly bounded geometric curvature energies
    Authors:
    Sławomir Kolasiński, Paweł Strzelecki, Heiko von der Mosel
    Academic press:
    Communications in Analysis and Geometry (rok: 2018, tom: 26, strony: 1251-1316), Wydawca: International Press
    Status:
    Published
    DOI:
    10.4310/CAG.2018.v26.n6.a2 - link to the publication
  2. Existence of solutions to a general geometric elliptic variational problem
    Authors:
    Yangqin Fang, Sławomir Kolasiński
    Academic press:
    Calculus of Variations and PDE (rok: 2018, tom: 57, strony: 25569), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    brak - link to the publication
  3. Kinetic energy represented in terms of moments of vorticity and applications
    Authors:
    T. Cieślak, K.Oleszkiewicz, M. Preisner, M. Szumańska
    Academic press:
    J. Math. Fluid Mech. (rok: 2019, tom: 0,911805555555556, strony: 45310), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s00021-019-0456-z - link to the publication
  4. A theorem on measures in dimension 2 and applications to vortex sheets.
    Authors:
    Tomasz Cieślak, Marta Szumańska
    Academic press:
    Journal of Functional Analysis (rok: 2014, tom: 266, strony: 6780-6795), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2014.04.002 - link to the publication
  5. Decay rates for the quadratic and super-quadratic tilt-excess of integral varifolds
    Authors:
    Sławomir Kolasiński, Ulrich Menne
    Academic press:
    Nonlinear Differential Equations and Applications (NODEA) (rok: 2017, tom: 1,01180555555556, strony: 20455), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00030-017-0436-z - link to the publication
  6. Higher order rectifiability of measures via averaged discrete curvatures
    Authors:
    Sławomir Kolasiński
    Academic press:
    Revista Matematica Ibeoramericana (rok: 2017, tom: 33, strony: 861-884), Wydawca: Real Sociedad Matemática Española
    Status:
    Published
    DOI:
    10.4171/RMI/958 - link to the publication
  7. Besicovitch-Federer projection theorem for mappings having constant rank of the Jacobian matrix
    Authors:
    Jacek Gałęski
    Academic press:
    Mathematische Zeitschrift (rok: 2018, tom: 289, strony: 995-1010), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s00209-017-1985-x - link to the publication
  8. Characterization of Sobolev-Slobodeckij spaces using geometric curvature energies
    Authors:
    Damian Dąbrowski
    Academic press:
    Publicacions Matematiques (rok: 2019, tom: 63, strony: 663-677), Wydawca: Department of Mathematics, Universitat Autònoma de Barcelona
    Status:
    Published
    DOI:
    10.5565/PUBLMAT6321907 - link to the publication
  1. Geometric curvature energies: facts, trends and open problems
    Authors:
    Paweł Strzelecki, Heiko von der Mosel
    Book:
    New Directions in Geometric and Applied Knot Theory (rok: 2018, tom: I, strony: 12997), Wydawca: Walter de Gruyter GMBH
    Status:
    Published

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