Approximation of \(W^{1,p}\) Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian
type: Item
instance of: scholarly article
title: Approximation of \(W^{1,p}\) Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian
zbMATH Open document ID: 1392.26019
author: Daniel Campbell
author: Stanislav Hencl
author: Ville Tengvall
published in: Advances in Mathematics
publication date: 2018-06-26T00:00:00Z
Mathematics Subject Classification ID: 26B10
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 6894547
zbMATH Keywords: Jacobian
zbMATH Keywords: approximation
zbMATH Keywords: Sobolev homeomorphism
Wikidata QID: Q109744320
MaRDI profile type: Publication
full work available at URL: j.aim.2018.04.017
OpenAlex ID: W2808951117
cites work: Q4954179
cites work: Q4105853
cites work: Convexity conditions and existence theorems in nonlinear elasticity
cites work: The calculus of variations and materials science
cites work: Singularities and computation of minimizers for variational problems
cites work: Approximation of Holder continuous homeomorphisms by piecewise affine homeomorphisms
cites work: Locally tame sets are tame
cites work: Diffeomorphic approximation of planar Sobolev homeomorphisms in Orlicz-Sobolev spaces
cites work: Homeomorphism with zero Jacobian: sharp integrability of the derivative
cites work: Approximating stable homeomorphisms by piecewise linear ones
cites work: Homeomorphisms in the Sobolev space W 1,n–1
cites work: Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
cites work: Quasiconformal 4-manifolds
cites work: Bi-Sobolev homeomorphism with zero Jacobian almost everywhere
cites work: Quasiconvexity and partial regularity in the calculus of variations
cites work: Q3134551
cites work: Surface area. I
cites work: Q4838489
cites work: A measure and orientation preserving homeomorphism with approximate Jacobian equal -1 almost everywhere
cites work: Modulus of continuity of orientation preserving approximately differentiable homeomorphisms with a.e. negative Jacobian
cites work: Sobolev homeomorphism with zero Jacobian almost everywhere
cites work: Lectures on mappings of finite distortion
cites work: Jacobians of Sobolev homeomorphisms
cites work: Diffeomorphic approximation of \(W^{1,1}\) planar Sobolev homeomorphisms
cites work: Sobolev homeomorphism that cannot be approximated by diffeomorphisms in \(W^{1,1}\)
cites work: Diffeomorphic approximation of Sobolev homeomorphisms
cites work: Hopf differentials and smoothing Sobolev homeomorphisms
cites work: Stable homeomorphisms and the annulus conjecture
cites work: Lipschitz and quasiconformal approximation of homeomorphism pairs
cites work: Q5583267
cites work: Affine structures in 3-manifolds. IV: Piecewise linear approximations of homeomorphisms
cites work: Q4119824
cites work: Q5325490
cites work: Approximation of piecewise affine homeomorphisms by diffeomorphisms
cites work: On the bi-Sobolev planar homeomorphisms and their approximation
cites work: Q3227685
cites work: Q4048264
DOI: 10.1016/J.AIM.2018.04.017
description: scientific article; zbMATH DE number 6894547