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 2022Show all

3 papers · 1 filter

math.AP2022★ 1 cited

Classification of area-strict limits of planar BV homeomorphisms

Daniel Campbell, Aapo Kauranen, Emanuela Radici

We present a classification of area-strict limits of planar $B V$ homeomorphisms. This class of mappings allows for cavitations and fractures but fulfil a suitable generalization of…

math.AP2022

Minimal Extension for the $α$ -Manhattan norm

Daniel Campbell, Aapo Kauranen, Emanuela Radici

Let $\partial Q$ be the boundary of a convex polygon in $R^{2}$ , $e_{α} = (cos α, sin α)$ and $e_{α}^{⊥} = (- sin α, cos α)$ be a basis of $R^{2}$ for some $…

math.AP2022

Injectivity in second-gradient Nonlinear Elasticity

D. Campbell, S. Hencl, A. Menovschikov +1

We study injectivity for models of Nonlinear Elasticity that involve the second gradient. We assume that $Ω \subset R^{n}$ is a domain, $f \in W^{2, q} (Ω, R^{n})$ satisfie…

Classification of area-strict limits of planar BV homeomorphisms

Minimal Extension for the α-Manhattan norm

Injectivity in second-gradient Nonlinear Elasticity

Minimal Extension for the $α$ -Manhattan norm