S. Hencl

activity

20152020

most citedApproximation of planar Sobolev

W^{2, 1}

homeomorphisms by Piecewise Quadratic Homeomorphisms and Diffeomorphisms

1 citations · 1 across the 1 of their papers we have counts for

collaborators

6 papers

math.FA2020★ 1 cited

Approximation of planar Sobolev $W^{2, 1}$ homeomorphisms by Piecewise Quadratic Homeomorphisms and Diffeomorphisms

Daniel Campbell, Stanislav Hencl

Given a Sobolev homeomorphism $f \in W^{2, 1}$ in the plane we find a piecewise quadratic homeomorphism that approximates it up to a set of $ε$ measure. We show that this piecewise q…

math.AP2020

A sense preserving Sobolev homeomorphism with negative Jacobian almost everywhere

Daniel Campbell, Luigi D'Onofrio, Stanislav Hencl

For every $1 \leq p < \frac{3}{2}$ we construct a Sobolev homeomorphism $f \in W^{1, p} ([- 1, 1]^{4}, [- 1, 1]^{4})$ such that $f (x) = x$ for every $x \in \partial [- 1, 1]^{4}$ but $J_{f} < 0$ a.e.

math.CA2019

Injectivity almost everywhere for weak limits of Sobolev homeomorphisms

Ondřej Bouchala, Stanislav Hencl, Anastasia Molchanova

Let $Ω \subset R^{n}$ be an open set and let $f \in W^{1, p} (Ω, R^{n})$ be a weak (sequential) limit of Sobolev homeomorphisms. Then $f$ is injective almost everywhere for…

math.FA2019

On distributional adjugate and derivative of the inverse

Stanislav Hencl, Aapo Kauranen, Jan Malý

Let $Ω\subset\er^3$ be a domain and let $f\colonΩ\to\er^3$ be a bi- $B V$ homeomorphism. Very recently in \cite{HKL} it was shown that the distributional adjugate of $D f$ (and thus a…

math.CA2018

Weak regularity of the inverse under minimal assumptions

Stanislav Hencl, Aapo Kauranen, Rami Luisto

Let $Ω \subset R^{3}$ be a domain and let $f \in B V_{loc} (Ω, R^{3})$ be a homeomorphism such that its distributional adjugate is a finite Radon measure. We…

math.CA2015

Diffeomorphic Approximation of $W^{1, 1}$ Planar Sobolev Homeomorphisms

Stanislav Hencl, Aldo Pratelli

Let $Ω \subseteq R^{2}$ be a domain and let $f \in W^{1, 1} (Ω, R^{2})$ be a homeomorphism (between $Ω$ and $f (Ω)$ ). Then there exists a sequence of smooth diffeomorphisms $f…