S. Hencl

activity

20152022

most citedApproximation of planar Sobolev

W^{2, 1}

homeomorphisms by Piecewise Quadratic Homeomorphisms and Diffeomorphisms

1 citations · 1 across the 2 of their papers we have counts for

collaborators

Showing math.APShow all

2 papers · 1 filter

math.AP2022

Injectivity in second-gradient Nonlinear Elasticity

D. Campbell, S. Hencl, A. Menovschikov +1

We study injectivity for models of Nonlinear Elasticity that involve the second gradient. We assume that $Ω \subset R^{n}$ is a domain, $f \in W^{2, q} (Ω, R^{n})$ satisfie…

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.