Mappings of finite codistortion and Sobolev classes of functions

DOI10.1134/S1064562411060226zbMath1242.26012OpenAlexW2020452167MaRDI QIDQ653022

Sergei Vodop'yanov

Publication date: 6 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562411060226

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 (3)

Unnamed Item ⋮ On the regularity of the Poletskii function under weak analytic assumptions on the given mapping ⋮ Basics of the quasiconformal analysis of a two-index scale of spatial mappings

Cites Work

• Unnamed Item
• On regularity of mappings inverse to Sobolev mappings
• Liouville type theorems for mappings with bounded (co)-distortion
• Regularity of the inverse of a planar Sobolev homeomorphism
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• Spaces of differential forms and maps with controlled distortion
• Regularity of the inverse of a Sobolev homeomorphism in space

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