D. Campbell

activity

20202022

most citedApproximation of planar Sobolev

W^{2, 1}

homeomorphisms by Piecewise Quadratic Homeomorphisms and Diffeomorphisms

1 citations · 1 across the 6 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.FA2021

BV and Sobolev homeomorphisms between metric measure spaces and the plane

Camillo Brena, Daniel Campbell

We show that given a homeomorphism $f : G \to Ω$ where $G$ is a open subset of $R^{2}$ and $Ω$ is a open subset of a $2$ -Ahlfors regular metric measure space supporting…

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.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…

BV and Sobolev homeomorphisms between metric measure spaces and the plane

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

Comparison between the non-crossing and the non-crossing on lines properties

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