Invertibility of Sobolev mappings under minimal hypotheses

DOI10.1016/j.anihpc.2009.09.010zbMath1190.30019OpenAlexW2002691568WikidataQ110086149 ScholiaQ110086149MaRDI QIDQ963041

Leonid V. Kovalev, Jani Onninen, Kai Rajala

Publication date: 8 April 2010

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2009.09.010

zbMATH Keywords

differential inclusionfinite distortionlocal homeomorphism

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Implicit function theorems, Jacobians, transformations with several variables (26B10) Convexity of real functions of several variables, generalizations (26B25)

Related Items (6)

Variability of paths and differential equations with \(\mathrm{BV}\)-coefficients ⋮ Optimal assumptions for discreteness ⋮ Inverse function theorems and Jacobians over metric spaces ⋮ Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity ⋮ A metric approach to elastic reformations ⋮ A multiplicative version of quasiconvexity for hyperelasticity

Cites Work

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• The local homeomorphism property of spatial quasiregular mappings with distortion close to one
• Lectures on \(n\)-dimensional quasiconformal mappings
• Mappings of finite distortion: Capacity and modulus inequalities
• Almost-everywhere injectivity in nonlinear elasticity
• Global invertibility of Sobolev functions and the interpenetration of matter
• An extension of Reshetnyak's Theorem
• On Mappings with Integrable Dilatation
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• On quasi‐isometric mappings, I
• Extremal mappings of finite distortion

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