Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Wojciech Górny"'
Autor:
Sebastian Bernat, Wojciech Górny
Publikováno v:
Acta Scientiarum Polonorum Administratio Locorum. 22:5-18
Motives: In the past 20 years or more, many towns that had lost city status during the partitions of Poland have applied for the restoration of municipal rights. Aim: The aim of the research conducted in 2020 was to identify changes in the functional
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::222fb60f9a029bce7b25e6a5a36e8431
https://doi.org/10.31648/aspal.8309
https://doi.org/10.31648/aspal.8309
Autor:
Wojciech Górny
Publikováno v:
Annales Fennici Mathematici
We formulate and study the nonlocal and local least gradient problem, which is the Dirichlet problem for the 1-Laplace operator, in a quite natural setting of Carnot groups. We study the passage from the nonlocal problem to the local problem as the r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8674a002add7e653e993adc2bec81a8
https://afm.journal.fi/article/view/114742
https://afm.journal.fi/article/view/114742
Autor:
Wojciech Górny, José M. Mazón
Publikováno v:
PAMM. 22
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c1dd9ba7a743908c009cd39d1671f2d6
https://doi.org/10.1002/pamm.202200099
https://doi.org/10.1002/pamm.202200099
Autor:
Wojciech Górny
Publikováno v:
Mathematische Annalen.
We study the set of possible traces of anisotropic least gradient functions. We show that even on the unit disk it changes with the anisotropic norm: for two sufficiently regular strictly convex norms the trace spaces coincide if and only if the norm
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b022b8afbd0ce168dbc49a5aa95c651
https://doi.org/10.1007/s00208-022-02488-4
https://doi.org/10.1007/s00208-022-02488-4
Autor:
Wojciech Górny
Publikováno v:
Proceedings of the American Mathematical Society. 148:3009-3019
It is shown that in the anisotropic least gradient problem on an open bounded set Ω ⊂ R N \Omega \subset \mathbb {R}^N with Lipschitz boundary, given boundary data f ∈ L p ( ∂ Ω ) f \in L^p(\partial \Omega ) the solutions lie in L N p N − 1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b99275f24d171765970292f74dd6a518
https://doi.org/10.1090/proc/15031
https://doi.org/10.1090/proc/15031
Autor:
Wojciech Górny
Publikováno v:
The Journal of Geometric Analysis. 32
In the setting of metric measure spaces satisfying the doubling condition and the (1, p)-Poincaré inequality, we prove a metric analogue of the Bourgain–Brezis–Mironescu formula for functions in the Sobolev space $$W^{1,p}(X,d,\nu )$$ W 1 , p (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4d36249fd6ed9ae22f3e57ffc88e059
https://doi.org/10.1007/s12220-021-00861-4
https://doi.org/10.1007/s12220-021-00861-4
Autor:
Wojciech Górny, Jose Mazon
We study the Neumann and Dirichlet problems for the total variation flow in metric measure spaces. We prove existence and uniqueness of weak solutions and study their asymptotic behaviour. Furthermore, in the Neumann problem we provide a notion of so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fda8222205b4fb60e17b4910fc1d0e6
http://arxiv.org/abs/2105.11424
http://arxiv.org/abs/2105.11424
Autor:
Wojciech Górny, José M. Mazón
This book is devoted to the least gradient problem and its variants. The least gradient problem concerns minimization of the total variation of a function with prescribed values on the boundary of a Lipschitz domain. It is the model problem for study
Autor:
Wojciech Górny, José M. Mazón
The $p$-Laplacian evolution equation in metric measure spaces has been studied as the gradient flow in $L^2$ of the $p$-Cheeger energy (for $1 < p < \infty$). In this paper, using the first-order differential structure on a metric measure space intro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74294cdadb974d04b998e0781403ce57
http://arxiv.org/abs/2103.13373
http://arxiv.org/abs/2103.13373
Autor:
Wojciech Górny
We study the consequences of the equivalence between the least gradient problem and a boundary-to-boundary optimal transport problem in two dimensions. We extend the relationship between the two problems to their respective dual problems, as well as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c2d1b1402c6b3083ba7b0d716b9de60