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Anisotropic least gradient problem

2017/27/N/ST1/02418

Keywords

Descriptors

  • ST1_11: Równania różniczkowe cząstkowe
  • ST1_17: Teoria sterowania i optymalizacja

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

Voivodeship: mazowieckie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr Wojciech Górny

Number of co-investigators in the project: 2

Call

PRELUDIUM 14 – announced on 2017-09-15

Amount awarded
106 400 PLN
Project start date
2018-07-17
Project end date
2022-10-16
Project duration
51 months (the same as in the proposal)
Project status
Project settled

Project description

Download the project description in a pdf file

Note — project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Zestaw komputera stacjonarnego z monitorem i potrzebnym wyposażeniem. Cost: 7 000 PLN

Information in the final report

Publication in academic press/journals (12)

  1. Local and nonlocal 1-Laplacian in Carnot groups

    Authors:
    Wojciech Górny
    Academic press:
    Annales Academiae Scientiarum Fennicae Mathematica (year: 2022, volume: 47, pages: 427-456), Publisher: Academia Scientiarum Fennica
    Status:
    Published
    DOI:
    10.54330/afm.114742 – link to the publication

  2. The trace space of anisotropic least gradient functions depends on the anisotropy

    Authors:
    Wojciech Górny
    Academic press:
    Mathematische Annalen (year: 2022, volume: ahead of print, pages: -), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-022-02488-4 – link to the publication

  3. Least gradient problem with respect to a non-strictly convex norm

    Authors:
    Wojciech Górny
    Academic press:
    Nonlinear Analysis (year: 2020, volume: 200, pages: 112049), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2020.112049 – link to the publication

  4. Bourgain-Brezis-Mironescu approach in metric spaces with Euclidean tangents

    Authors:
    Wojciech Górny
    Academic press:
    Journal of Geometric Analysis (year: 2022, volume: 32, pages: 128), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-021-00861-4 – link to the publication

  5. L^p regularity of least gradient functions

    Authors:
    Wojciech Górny
    Academic press:
    Proceedings of the American Mathematical Society (year: 2020, volume: 148 (7), pages: 3009-3019), Publisher: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/15031 – link to the publication

  6. Least gradient functions in metric random walk spaces

    Authors:
    Wojciech Górny, José M. Mazón
    Academic press:
    ESAIM: Control, Optimisation and Calculus of Variations (year: 2021, volume: 27, pages: S28), Publisher: EDP Sciences
    Status:
    Published
    DOI:
    10.1051/cocv/2020087 – link to the publication

  7. Least gradient problem on annuli

    Authors:
    Samer Dweik, Wojciech Górny
    Academic press:
    Analysis & PDE (year: 2022, volume: 15, pages: 699-725), Publisher: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/apde.2022.15.699 – link to the publication

  8. On the p-Laplacian evolution equation in metric measure spaces

    Authors:
    Wojciech Górny, José M. Mazón
    Academic press:
    Journal of Functional Analysis (year: 2022, volume: 283, pages: 109621), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109621 – link to the publication

  9. The Neumann and Dirichlet problems for the total variation flow in metric measure spaces

    Authors:
    Wojciech Górny, José M. Mazón
    Academic press:
    Advances in Calculus of Variations (year: 2022, volume: ahead of print, pages: -), Publisher: De Gruyter
    Status:
    Published
    DOI:
    10.1515/acv-2021-0107 – link to the publication

  10. Existence of minimisers in the least gradient problem for general boundary data

    Authors:
    Wojciech Górny
    Academic press:
    Indiana University Mathematics Journal (year: 2021, volume: 70, pages: 1003–1037), Publisher: Indiana University
    Status:
    Published
    DOI:
    10.1512/iumj.2021.70.8420 – link to the publication

  11. Optimal transport approach to Sobolev regularity of solutions to the weighted least gradient problem

    Authors:
    Samer Dweik, Wojciech Górny
    Status:
    Accepted for publication

  12. Applications of optimal transport methods in the least gradient problem

    Authors:
    Wojciech Górny
    Status:
    Accepted for publication

Articles in post-conference publications (1)

  1. Weak solutions to gradient flows in metric measure spaces

    Authors:
    Wojciech Górny, José M. Mazón
    Conference:
    92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (year: 2022), Publisher: Wiley
    Status:
    Accepted for publication

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