D. Campbell

activity

20202025

most citedApproximation of planar Sobolev

W^{2, 1}

homeomorphisms by Piecewise Quadratic Homeomorphisms and Diffeomorphisms

1 citations · 2 across the 12 of their papers we have counts for

collaborators

Showing 2021Show all

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.AP2021

Smooth homeomorphic approximation of piecewise affine homeomorphisms

Daniel Campbell, Filip Soudský

Given any $f$ a locally finitely piecewise affine homeomorphism of $Ω\subset \rn$ onto $Δ\subset \rn$ in $W^{1, p}$ , $1 \leq p < \infty$ and any $ε > 0$ we construct a smooth injective…

math.AP2021

Classification of strict limits of planar BV homeomorphisms

Daniel Campbell, Aapo Kauranen, Emanuela Radici

We present a classification of strict limits of planar BV homeomorphisms. The authors and S. Hencl showed in a previous work \cite{CHKR} that such mappings allow for cavitations an…