Densities non-realizable as the Jacobian of a 2-dimensional bi-Lipschitz map are generic

DOI10.1142/S1793525318500322zbMath1405.26012arXiv1603.07310OpenAlexW2963143318MaRDI QIDQ4645887

Rodolfo Viera

Publication date: 11 January 2019

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07310

zbMATH Keywords

Jacobianbi-Lipschitz homeomorphisms

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items

The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces ⋮ Delone sets that are not rectifiable under Lipschitz co-uniformly continuous bijections ⋮ Highly irregular separated nets ⋮ Mapping \(n\) grid points onto a square forces an arbitrarily large Lipschitz constant

Cites Work

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• Density not realizable as the Jacobian determinant of a bilipschitz map
• Some examples of repetitive, nonrectifiable Delone sets
• Separated nets in Euclidean space and Jacobians of biLipschitz maps
• Lipschitz maps and nets in Euclidean space