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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…
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…
Approximation of planar Sobolev homeomorphisms by Piecewise Quadratic Homeomorphisms and Diffeomorphisms
Daniel Campbell, Stanislav Hencl
Given a Sobolev homeomorphism in the plane we find a piecewise quadratic homeomorphism that approximates it up to a set of measure. We show that this piecewise q…
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- homeomorphism. Very recently in \cite{HKL} it was shown that the distributional adjugate of (and thus a…