Reshetnyak's theorem and the inner distortion
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Publication:652907
DOI10.4310/PAMQ.2011.V7.N2.A8zbMath1244.30041OpenAlexW2331202408WikidataQ110099257 ScholiaQ110099257MaRDI QIDQ652907
Publication date: 5 January 2012
Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/pamq.2011.v7.n2.a8
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)
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A generalization of the univalence on the boundary theorem with applications to Sobolev mappings ⋮ Openness and discreteness for mappings of finite distortion ⋮ Optimal assumptions for discreteness ⋮ Global invertibility for orientation-preserving Sobolev maps via invertibility on or near the boundary ⋮ Invertibility of Sobolev mappings under minimal hypotheses ⋮ Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity ⋮ Positive results on discreteness and openness for mappings of finite distortion ⋮ In the self-contact problem in nonlinear elasticity
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