Zero set of Sobolev functions with negative power of integrability (Q1429997)
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scientific article; zbMATH DE number 2066972
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zero set of Sobolev functions with negative power of integrability |
scientific article; zbMATH DE number 2066972 |
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Zero set of Sobolev functions with negative power of integrability (English)
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27 May 2004
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This paper is related with Hausdorff dimension estimate of the zero set of Sobolev functions with negative power of integrability. The very interesting results are applied to describe the rupture set of thin film flows. The main result is obtained by using a particular type of Poincaré inequality, for functions with the zero set large enough in a ball of \(\mathbb R^n\). The obtained estimates seems bt the first of this kind.
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singular elliptic equation
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thin film flow
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Hausdorff dimension
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