P. Rybka

activity

20082025

most citedA caricature of a singular curvature flow in the plane

14 citations · 41 across the 22 of their papers we have counts for

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Showing 2020 · math.APShow all

2 papers · 2 filters

math.AP2020

The planar Least Gradient problem in convex domains: the discontinuous case

Piotr Rybka, Ahmad Sabra

We study the two dimensional least gradient problem in convex polygonal sets in the plane, $Ω$ . We show the existence of solutions when the boundary data $f$ are attained in the tr…

math.AP2020

Existence of $W^{1, 1}$ solutions to a class of variational problems with linear growth on convex domains

Michał Łasica, Piotr Rybka

We consider a class of convex integral functionals composed of a term of linear growth in the gradient of the argument, and a fidelity term involving $L^{2}$ distance from a datum. S…

The planar Least Gradient problem in convex domains: the discontinuous case

Existence of W1,1 solutions to a class of variational problems with linear growth on convex domains

Existence of $W^{1, 1}$ solutions to a class of variational problems with linear growth on convex domains