Modulus of continuity of orientation preserving approximately differentiable homeomorphisms with a.e. negative Jacobian

DOI10.5186/aasfm.2018.4333zbMath1392.26022arXiv1701.04348OpenAlexW2963864130WikidataQ130169498 ScholiaQ130169498MaRDI QIDQ4608960

Piotr Hajłasz, Paweł Goldstein

Publication date: 29 March 2018

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04348

zbMATH Keywords

approximationHölder conditionorientation preservingapproximately differentiable homeomorphisms

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elasticity (74B20) Continuity and differentiation questions (26B05) Implicit function theorems, Jacobians, transformations with several variables (26B10) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (5)

Approximation of \(W^{1,p}\) Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian ⋮ A sense‐preserving Sobolev homeomorphism with negative Jacobian almost everywhere ⋮ \(W^{s,\frac{n}{s}}\)-maps with positive distributional Jacobians ⋮ A measure and orientation preserving homeomorphism with approximate Jacobian equal -1 almost everywhere ⋮ Jacobians of \(W^{1,p}\) homeomorphisms, case \(p=[n/2\)]

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