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Bi-Sobolev homeomorphism with zero minors almost everywhere

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Publication:486463
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DOI10.1515/acv-2013-0011zbMath1316.26012OpenAlexW2318763326MaRDI QIDQ486463

Robert Černý

Publication date: 15 January 2015

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv-2013-0011


zbMATH Keywords

JacobianminorSobolev mappinghomeomorphismbi-Sobolev mappingLuzin condition


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Implicit function theorems, Jacobians, transformations with several variables (26B10)


Related Items (7)

A strictly convex Sobolev function with null Hessian minors ⋮ Bi-Sobolev homeomorphism with zero Jacobian almost everywhere ⋮ Sobolev homeomorphisms with gradients of low rank via laminates ⋮ Hausdorff measure of critical set for Luzin \(N\) condition ⋮ On the Luzin \(N\)-property and the uncertainty principle for Sobolev mappings ⋮ Bi-Sobolev homeomorphisms \(f\) with \(Df\) and \(Df^{-1}\) of low rank using laminates ⋮ A measure and orientation preserving homeomorphism with approximate Jacobian equal -1 almost everywhere




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