2 citations · 3 across the 6 of their papers we have counts for
17 papers
The trace space of anisotropic least gradient functions depends on the anisotropy
Wojciech Górny
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 s…
Optimal transport approach to Sobolev regularity of solutions to the weighted least gradient problem
Samer Dweik, Wojciech Górny
We study the equivalence between the weighted least gradient problem and the weighted Beckmann minimal flow problem or equivalently, the optimal transport problem with Riemannian c…
The double-bubble problem on the square lattice
Manuel Friedrich, Wojciech Górny, Ulisse Stefanelli
We investigate minimal-perimeter configurations of two finite sets of points on the square lattice. This corresponds to a lattice version of the classical double-bubble problem. We…
The Neumann and Dirichlet problems for the total variation flow in metric measure spaces
Wojciech Górny, José M. Mazón
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 be…
The Anzellotti-Gauss-Green formula and least gradient functions in metric measure spaces
Wojciech Górny, José M. Mazón
In the framework of the first-order differential structure introduced by Gigli, we obtain a Gauss-Green formula on regular bounded open sets of metric measure spaces, valid for BV…
On the -Laplacian evolution equation in metric measure spaces
Wojciech Górny, José M. Mazón
The -Laplacian evolution equation in metric measure spaces has been studied as the gradient flow in of the -Cheeger energy (for ). In this paper, using…