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
    To appear in J. Reine Angew. Math.
  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
    Comm. Anal. Geom 30(8):1779-1792, 2022.
  12. Majorization by hemispheres and quadratic isoperimetric constants
    Trans. Amer. Math. Soc. 373(3):1577-1596, 2022.