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

Showing 2020Show all

2 papers · 1 filter

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.

Approximation of planar Sobolev W2,1 homeomorphisms by Piecewise Quadratic Homeomorphisms and Diffeomorphisms

A sense preserving Sobolev homeomorphism with negative Jacobian almost everywhere

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