On regularity of mappings inverse to Sobolev mappings

DOI10.1134/S1064562408060239zbMath1234.30023OpenAlexW2006481977MaRDI QIDQ542282

Sergei Vodop'yanov

Publication date: 8 June 2011

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

Full work available at URL: https://doi.org/10.1134/s1064562408060239

zbMATH Keywords

finite distortionapproximatively differentiable homeomorphismLusin's property on hypersurfaces

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (8)

Unnamed Item ⋮ Regularity of the inverse mapping in Banach function spaces ⋮ Capacity estimates, Liouville's theorem, and singularity removal for mappings with bounded \((p,q)\)-distortion ⋮ On the regularity of the Poletskii function under weak analytic assumptions on the given mapping ⋮ Mappings of finite codistortion and Sobolev classes of functions ⋮ Spaces of differential forms and mappings with controlled distortion ⋮ About homeomorphisms that induce composition operators on Sobolev spaces ⋮ Modulus inequalities for mappings with weighted bounded \((p,q)\)-distortion

Cites Work

• Properties of Banach spaces, stable and unstable relative to the gap
• Regularity of the inverse of a planar Sobolev homeomorphism
• Regularity of the inverse of a Sobolev homeomorphism in space
• Unnamed Item

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