Differential and geometric properties of Sobolev mappings

DOI10.1023/B:MATN.0000015047.89501.B1zbMath1117.46025OpenAlexW1966914264WikidataQ115334953 ScholiaQ115334953MaRDI QIDQ869814

Alexander Ukhlov

Publication date: 9 March 2007

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

Full work available at URL: https://doi.org/10.1023/b:matn.0000015047.89501.b1

zbMATH Keywords

propertiesSobolev spacesACL-mappingBVL-mappingdifferentiable homeomorphismgeneralized quasiconformal homeomorphismLuzin \(n\)- and \(NL^{-1}\)

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) Implicit function theorems, Jacobians, transformations with several variables (26B10) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (5)

On the functional properties of weak \((p, q)\)-quasiconformal homeomorphisms ⋮ Sobolev mappings and moduli inequalities on Carnot groups ⋮ On the boundary behavior of weak \((p, q)\)-quasiconformal mappings ⋮ Mappings with bounded \((P,Q)\)-distortion on Carnot groups ⋮ About homeomorphisms that induce composition operators on Sobolev spaces

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