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A regularity condition in Sobolev spaces \(W_{\operatorname{loc}}^{1,p}(\mathbb{R}^n)\) with \(1\leq p<n\). - MaRDI portal

A regularity condition in Sobolev spaces \(W_{\operatorname{loc}}^{1,p}(\mathbb{R}^n)\) with \(1\leq p<n\). (Q1850265)

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scientific article; zbMATH DE number 1839963
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English
A regularity condition in Sobolev spaces \(W_{\operatorname{loc}}^{1,p}(\mathbb{R}^n)\) with \(1\leq p<n\).
scientific article; zbMATH DE number 1839963

    Statements

    A regularity condition in Sobolev spaces \(W_{\operatorname{loc}}^{1,p}(\mathbb{R}^n)\) with \(1\leq p<n\). (English)
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    1 January 2003
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    weaker notion of absolute continuity
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    differentiability almost everywhere
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    Lusin's condition (N)
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