Mappings of finite signed distortion: Sobolev spaces and composition of mappings

DOI10.1016/j.jmaa.2011.08.045zbMath1236.46031OpenAlexW2066625726MaRDI QIDQ643593

Luděk Kleprlík

Publication date: 2 November 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.045

zbMATH Keywords

composition operatorfinite distortionLuzin condition

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items (11)

Quasiregular curves: Hölder continuity and higher integrability ⋮ On the regularity theory of bi-Sobolev mappings ⋮ Sharp bounds for composition with quasiconformal mappings in Sobolev spaces ⋮ Bi-Sobolev mappings and \(K_{p}\)-distortions in the plane ⋮ Bi-Sobolev homeomorphism with zero Jacobian almost everywhere ⋮ Hausdorff measure of critical set for Luzin \(N\) condition ⋮ Composition of \(q\)-quasiconformal mappings and functions in Orlicz-Sobolev spaces ⋮ Composition operators on \(W^1X\) are necessarily induced by quasiconformal mappings ⋮ Composition operators on Sobolev spaces and Neumann eigenvalues ⋮ Example of a smooth homeomorphism violating the Luzin \(N^{-1}\) property ⋮ Asymptotic self-similarity of minimizers and local bounds in a model of shape-memory alloys

Cites Work

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• Mappings of finite distortion: The zero set of the Jacobian
• On mappings generating the embeddings of Sobolev spaces
• Weakly Differentiable Functions
• Extension of range of functions
• On Certain Convolution Inequalities
• Mappings of finite distortion: Condition \(N\)

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