On the problem of regularity in the Sobolev space \(W_{loc}^{1,n}\)

DOI10.1016/j.topol.2008.12.041zbMath1187.46026OpenAlexW2034058337MaRDI QIDQ1032942

Donatella Bongiorno

Publication date: 5 November 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2008.12.041

zbMATH Keywords

differentiabilityabsolute continuitychange of variables formulasLusin's condition \((N)\)

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

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Cites Work

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• Absolutely continuous functions of several variables
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• Notes on absolutely continuous functions of several variables
• On functions with derivatives in a Lorentz space
• Absolutely continuous functions of Rado, Reichelderfer, and Malý
• Lectures on \(n\)-dimensional quasiconformal mappings
• Quasi-Symmetric Embeddings in Euclidean Spaces
• Weakly Differentiable Functions
• On the notions of absolute continuity for functions of several variables

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