On a weighted Adachi-Tanaka type Trudinger-Moser inequality in nonradial Sobolev spaces (Q2039396)
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scientific article; zbMATH DE number 7367457
| Language | Label | Description | Also known as |
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| English | On a weighted Adachi-Tanaka type Trudinger-Moser inequality in nonradial Sobolev spaces |
scientific article; zbMATH DE number 7367457 |
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On a weighted Adachi-Tanaka type Trudinger-Moser inequality in nonradial Sobolev spaces (English)
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2 July 2021
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Summary: In this article we establish a Trudinger-Moser inequality of Adachi-Tanaka type in nonradial weighted Sobolev spaces for functions defined on the whole \(\mathbb{R}^N\). The main tools are the Besecovitch covering lemma and a Trudinger-Moser inequality on the whole space established by S. Adachi and K. Tanaka.
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Trudinger-Moser inequality
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Adachi-Tanaka inequality
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nonradial weighted Sobolev spaces
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Besicovitch covering lemma
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