Optimal assumptions for discreteness

DOI10.1007/S00205-012-0574-8zbMath1275.26007OpenAlexW2082869460WikidataQ110214024 ScholiaQ110214024MaRDI QIDQ1944740

Stanislav Hencl, Kai Rajala

Publication date: 27 March 2013

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-012-0574-8

zbMATH Keywords

discrete mapfinite distortionopen map

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Lipschitz (Hölder) classes (26A16) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items (12)

Creating and flattening cusp singularities by deformations of bi-conformal energy ⋮ Openness and discreteness for mappings of finite distortion ⋮ Differentiability in the Sobolev space \(W^{1,n-1}\) ⋮ Global invertibility for orientation-preserving Sobolev maps via invertibility on or near the boundary ⋮ Mappings of finite distortion: size of the branch set ⋮ Mappings of finite inner distortion: global homeomorphism theorem ⋮ Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity ⋮ Positive results on discreteness and openness for mappings of finite distortion ⋮ Fibers of monotone maps of finite distortion ⋮ Injectivity almost everywhere for weak limits of Sobolev homeomorphisms ⋮ Mappings of finite distortion from generalized manifolds ⋮ On the heterogeneous distortion inequality

Cites Work

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• Mappings of finite distortion: Monotonicity and continuity
• Mappings of finite distortion: Discreteness and openness

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