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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…
math.FA2020
Comparison between the non-crossing and the non-crossing on lines properties
Daniel Campbell, Aldo Pratelli, Emanuela Radici
In the recent paper [2], it was proved that the closure of the planar diffeomorphisms in the Sobolev norm consists of the functions which are non-crossing (NC), i.e., the functions…