On the regularity of the Poletskii function under weak analytic assumptions on the given mapping

DOI10.1134/S1064562414020112zbMath1305.26031OpenAlexW1994753646MaRDI QIDQ461892

Sergei Vodop'yanov

Publication date: 15 October 2014

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

Full work available at URL: https://doi.org/10.1134/s1064562414020112

Mathematics Subject Classification ID

Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items (8)

Unnamed Item ⋮ Foundations of quasiconformal analysis of a two-index scale of spatial mappings ⋮ Capacity estimates, Liouville's theorem, and singularity removal for mappings with bounded \((p,q)\)-distortion ⋮ Differentiability of mappings of the Sobolev space \(W_{n-1}^1\) with conditions on the distortion function ⋮ Basics of the quasiconformal analysis of a two-index scale of spatial mappings ⋮ Lower semicontinuity of mappings with bounded \((\theta, 1)\)-weighted \((p,q)\)-distortion ⋮ Moduli inequalities for W¹_n-1,loc-mappings with weighted bounded (q, p)-distortion ⋮ Modulus inequalities for mappings with weighted bounded \((p,q)\)-distortion

Cites Work

• On regularity of mappings inverse to Sobolev mappings
• Mappings of finite codistortion and Sobolev classes of functions
• Liouville type theorems for mappings with bounded (co)-distortion
• On totally differentiable and smooth functions
• Change of variables formula under minimal assumptions
• Differentiability of maps of Carnot groups of Sobolev classes
• Regularity of mappings inverse to Sobolev mappings
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