On the Orlicz-Sobolev classes and mappings with bounded Dirichlet integral

DOI10.1007/s11253-014-0867-1zbMath1333.46036OpenAlexW2067785057MaRDI QIDQ893157

Ruslan Radikovich Salimov, Evgeny Aleksandrovich Sevost'yanov, Vladimir I. Ryazanov

Publication date: 13 November 2015

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

Full work available at URL: https://doi.org/10.1007/s11253-014-0867-1

zbMATH Keywords

homeomorphismsLuzin \((N)\)-propertyOrlicz-Sobolev classes

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Cites Work

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• Sur les différentielles totales des fonctions univalentes
• On the structure of \(AJW\)-algebras of type \(I_2\)
• A Note on a Theorem of Gehring and Lehto
• On Mappings with Integrable Dilatation

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