S. Hencl

activity

20152026

most citedWeak limit of homeomorphisms in

W^{1, n - 1}

and (INV) condition

14 citations · 19 across the 12 of their papers we have counts for

collaborators

16 papers

math.CV2026

Bounded Continuous weak quasiregular mappings that fail to be quasiregular

Stanislav Hencl, Yi Ru-Ya Zhang

We show that, in dimensions $n \geq 3$ , continuity and boundedness do not restore the Sobolev regularity conjecture of Iwaniec and Martin for weakly quasiregular mappings below the…

math.FA2026

Ciarlet Nečas condition in fractional Sobolev spaces

Stanislav Hencl, Jaromír Mielec, Kaushik Mohanta

Let $s \in (\frac{n}{n + 1}, 1)$ , $Ω \subset R^{n}$ be an open set and let $f \in W^{s, n / s} (Ω, R^{n})$ be mapping with positive distributional Jacobian $J_{f} > 0$ which…

math.FA2025

Ball-Evans approximation problem: recent progress and open problems

Stanislav Hencl

In this paper we give a short overview about the Ball-Evans approximation problem, i.e. about the approximation of Sobolev homeomorphism by a sequence of diffeomorphisms (or piecew…

math.FA2024

Weak limits of Sobolev homeomorphisms are one to one

Ondřej Bouchala, Stanislav Hencl, Zheng Zhu

We prove that the key property in models of Nonlinear Elasticity which corresponds to the non-interpenetration of matter, i.e. injectivity a.e., can be achieved in the class of wea…

math.FA2023

Weak Limit of $W^{1, 2}$ Homeomorphisms in $R^{3}$ Can Have Any Degree

Ondřej Bouchala, Stanislav Hencl, Zheng Zhu

In this paper for every $k \in Z$ we construct a sequence of weakly converging homeomorphisms $h_{m} : B (0, 10) \to R^{3}$ , $h_{m} ⇀ h$ in $W^{1,2}(B(0,10))…

math.CV2023

Extension of planar Hölder homeomorphisms

Stanislav Hencl, Aleksis Koski

Let $α$ \in (0; 1). We show that any $α$ -Hölder homeomorphism from the unit circle in the plane to the plane can be extended to an $α$ -Hölder homeomorphism from the whole unit disc…