Positive results on discreteness and openness for mappings of finite distortion

DOI10.1080/17476933.2016.1200036zbMath1359.30039OpenAlexW2465914367MaRDI QIDQ2816607

Enrique Villamor

Publication date: 25 August 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1200036

zbMATH Keywords

mappings of finite distortion

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Cites Work

• Reshetnyak's theorem and the inner distortion
• Regularity properties of deformations with finite energy
• On the existence of angular limits of \(n\)-dimensional quasiconformal mappings
• Convexity conditions and existence theorems in nonlinear elasticity
• Sobolev mappings with integrable dilatations
• Mappings of finite distortion: Hausdorff measure of zero sets
• Optimal assumptions for discreteness
• Mappings of finite distortion: discreteness and openness for quasi-light mappings
• Global invertibility of Sobolev functions and the interpenetration of matter
• Mappings with integrable dilatation in higher dimensions

This page was built for publication: Positive results on discreteness and openness for mappings of finite distortion