On the capacity approach to non-attainability of Hardy's inequality in \(\mathbb{R}^N\) (Q1734801)
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scientific article; zbMATH DE number 7043504
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the capacity approach to non-attainability of Hardy's inequality in \(\mathbb{R}^N\) |
scientific article; zbMATH DE number 7043504 |
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On the capacity approach to non-attainability of Hardy's inequality in \(\mathbb{R}^N\) (English)
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27 March 2019
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In this short note the authors used a type of Lorentz spaces approach to study the non-attainability of the standard Hardy inequality for the $p$-Laplacian in \(\mathbb{R}^N\). They prove that in a weak sense the best constant of the Hardy inequality cannot be attained.
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$p$-Laplacien
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Hardy inequality
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non-attainability
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