Critical points for Sobolev homeomorphisms

DOI10.4171/RLM/596zbMath1220.30034MaRDI QIDQ634433

Roberta Schiattarella, Carlo Sbordone

Publication date: 2 August 2011

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

bounded variationSobolev mappinghomeomorphism

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)

Related Items (2)

Grand Sobolev spaces and their applications in geometric function theory and PDEs ⋮ Recent studies on Sobolev mappings

Cites Work

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• Sharpness of the assumptions for the regularity of a homeomorphism
• Editor's note: the differentiability of functions in \({\mathbb{R}}^ n\)
• The limit of \(W^{1,1}\) homeomorphisms with finite distortion
• Jacobians of Sobolev homeomorphisms
• Bi-Sobolev mappings and elliptic equations in the plane
• On the integrability of the Jacobian under minimal hypotheses
• A remark on the equality \(\text{det} Df=\text{Det} Df\)
• Differentiability of monotone Sobolev functions.
• Sobolev homeomorphism with zero Jacobian almost everywhere
• Homeomorphisms of bounded variation
• Regularity of the inverse of a planar Sobolev homeomorphism
• Some geometrical properties of functions and mappings with generalized derivatives
• Change of variables for absolutely continuous functions
• Lectures on \(n\)-dimensional quasiconformal mappings
• Some new functional spaces
• Change of variables formula under minimal assumptions
• Mappings of finite distortion: Condition \(N\)

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