Homepage of Paul Creutz

  1. Weak differentiability of metric space valued Sobolev maps
    with Nikita Evseev
    To appear in Proc. Amer. Math. Soc.
  2. Filling minimality and Lipschitz-volume rigidity of convex bodies among integral current spaces
    with Giuliano Basso and Elefterios Soultanis
    Preprint arXiv:2209.12545.
  3. On the Plateau problem in metric spaces
    Dissertation KUPS eprint:60855, 2022.
  4. An approach to metric space valued Sobolev maps via weak* derivatives
    with Nikita Evseev
    Preprint arXiv:2106.15449.
  5. Triangulating metric surfaces
    with Matthew Romney
    Proc. Lond. Math. Soc. 125(6):1426-1451, 2022.
  6. The Plateau-Douglas Problem for Singular Configurations and in General Metric Spaces
    with Martin Fitzi
    Arch. Ration. Mech. Anal. 247(3): Article no. 34, 2023.
  7. The Branch Set of Minimal Disks in Metric Spaces
    with Matthew Romney
    Int. Math. Res. Not. IMRN 2023(7):5569-5603, 2023.
  8. Rigidity of the Pu inequality and quadratic isoperimetric constants of normed spaces
    Rev. Mat. Iberoam. 38(3):705-729, 2022.
  9. Maximal metric surfaces and the Sobolev-to-Lipschitz property
    with Elefterios Soultanis
    Calc. Var. and PDE 59(5): Article no. 177, 2020.
  10. Space of minimal discs and its compactification
    Geom. Dedicata 210(1):151-164, 2020.
  11. Plateau's problem for singular curves
    To appear in Comm. Anal. Geom.
  12. Majorization by hemispheres and quadratic isoperimetric constants
    Trans. Amer. Math. Soc. 373(1):1577-1596, 2020.