Sharpness of the assumptions for the regularity of a homeomorphism

DOI10.1307/mmj/1291213960zbMath1222.26017OpenAlexW2018822757MaRDI QIDQ621294

Stanislav Hencl

Publication date: 2 February 2011

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1291213960

zbMATH Keywords

Sobolev spacehomeomorphisminverse mapping

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 (10)

Lusin's condition and the distributional determinant for deformations with finite energy ⋮ Bisobolev mappings and homeomorphisms with finite distortion ⋮ Bi-Sobolev homeomorphism with zero Jacobian almost everywhere ⋮ Critical points for Sobolev homeomorphisms ⋮ The regularity of the inverses of Sobolev homeomorphisms with finite distortion ⋮ On the approximate differentiability of inverse maps ⋮ Fracture surfaces and the regularity of inverses for BV deformations ⋮ On distributional adjugate and derivative of the inverse ⋮ Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms ⋮ Weak regularity of the inverse under minimal assumptions

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