On invertibility of Sobolev mappings

DOI10.1515/CRELLE.2011.038zbMath1236.30021arXiv0812.2350OpenAlexW3098083375MaRDI QIDQ5198588

Jani Onninen, Leonid V. Kovalev

Publication date: 8 August 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.2350

zbMATH Keywords

differential inclusionquasiregular mappingSobolev mappingmapping of finite distortion

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Implicit function theorems, Jacobians, transformations with several variables (26B10) Quasiconformal mappings in the complex plane (30C62)

Related Items (9)

Nonlinear transport equations and quasiconformal maps ⋮ Variability of paths and differential equations with \(\mathrm{BV}\)-coefficients ⋮ Existence of energy-minimal diffeomorphisms between doubly connected domains ⋮ Inverse function theorems and Jacobians over metric spaces ⋮ On global implicit function theorem ⋮ Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity ⋮ Invertibility of Sobolev mappings under minimal hypotheses ⋮ A metric approach to elastic reformations ⋮ A note on the global injectivity of some light Sobolev mappings

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