Orlicz-Sobolev regularity of mappings with subexponentially integrable distortion (Q1039873)
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scientific article; zbMATH DE number 5637120
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orlicz-Sobolev regularity of mappings with subexponentially integrable distortion |
scientific article; zbMATH DE number 5637120 |
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Orlicz-Sobolev regularity of mappings with subexponentially integrable distortion (English)
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23 November 2009
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Summary: We study regularity properties of mappings of finite distortion. We show that some sort of self-improvement phenomena hold also when only subexponential integrability is assumed for the distortion function. We extend to this setting results by \textit{D. Faraco, P. Koskela} and \textit{X. Zhong} [Adv. Math. 190, No. 2, 300--318 (2005; Zbl 1075.30012)] and \textit{M. Bildhauer, M. Fuchs} and \textit{X. Zhong} [Manuscr. Math. 116, No. 2, 135--156 (2005; Zbl 1116.49018)].
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mappings of finite distortion
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higher integrability
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subexponential distortion
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0.9081108
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