Zofia Grochulska

collaborators

2 papers

math.CA2025

$L_{l oc}^{1}$ -convergence of Jacobians of Sobolev homeomorphisms via area formula

Zofia Grochulska

We prove that given a sequence of homeomorphisms $f_{k} : Ω \to R^{n}$ convergent in $W^{1, p} (Ω, R^{n})$ , $p \geq 1$ for $n = 2$ and $p > n - 1$ for $n \geq 3$ , to a homeomo…

math.AP2022

Local estimates for vectorial Rudin-Osher-Fatemi type problems in one dimension

Zofia Grochulska, Michał Łasica

We consider the Rudin-Osher-Fatemi variational denoising model with general regularizing term in one-dimensional, vector-valued setting. We obtain local estimates on the singular p…

Lloc1​-convergence of Jacobians of Sobolev homeomorphisms via area formula

Local estimates for vectorial Rudin-Osher-Fatemi type problems in one dimension

$L_{l oc}^{1}$ -convergence of Jacobians of Sobolev homeomorphisms via area formula