Sharpness of the differentiability almost everywhere and capacitary estimates for Sobolev mappings (Q529996)
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scientific article; zbMATH DE number 6728536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharpness of the differentiability almost everywhere and capacitary estimates for Sobolev mappings |
scientific article; zbMATH DE number 6728536 |
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Sharpness of the differentiability almost everywhere and capacitary estimates for Sobolev mappings (English)
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9 June 2017
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Summary: We give sharp conformal conditions for the differentiability in the Sobolev space \(W_{\mathrm{loc}}^{1,n-1}(\Omega,\mathbb{R}^n)\). Furthermore, we show that the space \(W_{\mathrm{loc}}^{1,n-1}(\Omega,\mathbb{R}^n)\) can be considered as the borderline space for some capacitary inequalities.
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mapping of finite distortion
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differentiability
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capacity
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