The lower semicontinuity of distortion coefficients of the homeomorphisms inducing bounded composition operators of Sobolev-Orlicz spaces

DOI10.1134/S0037446618020167zbMath1403.46032OpenAlexW2800916758WikidataQ129972626 ScholiaQ129972626MaRDI QIDQ721376

A. V. Menovshchikov

Publication date: 19 July 2018

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

Full work available at URL: https://doi.org/10.1134/s0037446618020167

zbMATH Keywords

distortion\(N\)-functioncomposition operatorbiting convergencecodistortionSobolev-Orlicz space

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)

Cites Work

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• Variational problems of nonlinear elasticity in certain classes of mappings with finite distortion
• Lower semicontinuity of mappings with bounded \((\theta, 1)\)-weighted \((p,q)\)-distortion
• Continuity and compactness of measures
• Quasiconformal mappings and spaces of functions with generalized first derivatives
• Sobolev mappings with integrable dilatations
• Regularity of the inverse of a homeomorphism of a Sobolev-Orlicz space
• Closure of classes of mappings with bounded distortion on Carnot groups
• Fine behavior of functions whose gradients are in an Orlicz space
• On Mappings with Integrable Dilatation
• On the weak limit of mappings with finite distortion
• Regularity of mappings inverse to Sobolev mappings

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