On singular Trudinger-Moser type inequalities for unbounded domains and their best exponents (Q1950470)
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scientific article; zbMATH DE number 6162458
| Language | Label | Description | Also known as |
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| English | On singular Trudinger-Moser type inequalities for unbounded domains and their best exponents |
scientific article; zbMATH DE number 6162458 |
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On singular Trudinger-Moser type inequalities for unbounded domains and their best exponents (English)
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13 May 2013
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Generalizations of the Trudinger-Moser inequality to Sobolev spaces with singular weights are considered for any smooth domain \(\Omega \subset\mathbb R^n. \) Furthermore, the authors show that the resulting inequalities are sharp obtaining the best exponents.
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critical growth
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Trudinger-Moser inequality
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Sobolev spaces
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unbounded domain
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