A note on the classification of positive solutions to the critical p-Laplace equation in $\mathbb{R}^n$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914688774701056 |
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| author | Vétois, Jérôme |
| author_facet | Vétois, Jérôme |
| contents | In this note, we obtain a classification result for positive solutions to the critical p-Laplace equation in $\mathbb{R}^n$ with $n\ge4$ and $p>p_n$ for some number $p_n\in\left(\frac{n}{3},\frac{n+1}{3}\right)$ such that $p_n\sim\frac{n}{3}+\frac{1}{n}$, which slightly improves upon a similar result recently obtained by Ou under the condition $p\ge\frac{n+1}{3}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_02600 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A note on the classification of positive solutions to the critical p-Laplace equation in $\mathbb{R}^n$ Vétois, Jérôme Analysis of PDEs In this note, we obtain a classification result for positive solutions to the critical p-Laplace equation in $\mathbb{R}^n$ with $n\ge4$ and $p>p_n$ for some number $p_n\in\left(\frac{n}{3},\frac{n+1}{3}\right)$ such that $p_n\sim\frac{n}{3}+\frac{1}{n}$, which slightly improves upon a similar result recently obtained by Ou under the condition $p\ge\frac{n+1}{3}$. |
| title | A note on the classification of positive solutions to the critical p-Laplace equation in $\mathbb{R}^n$ |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2304.02600 |