The singular anisotropic Adams' type inequality in $\mathbb{R}^n$
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911287505584128 |
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| author | Zhang, Tao Li, Meixia Yang, Fan Zhou, Chunqin |
| author_facet | Zhang, Tao Li, Meixia Yang, Fan Zhou, Chunqin |
| contents | In this paper, using anisotropic rearrangement techniques, we first establish the best constants for the singular anisotropic Adams' type inequality with exact growth in $\mathbb{R}^n$. Furthermore, by the same trick, we also prove the singular anisotropic Adams' type inequality on bounded domain $Ω\subset \mathbb{R}^n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20978 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The singular anisotropic Adams' type inequality in $\mathbb{R}^n$ Zhang, Tao Li, Meixia Yang, Fan Zhou, Chunqin Analysis of PDEs In this paper, using anisotropic rearrangement techniques, we first establish the best constants for the singular anisotropic Adams' type inequality with exact growth in $\mathbb{R}^n$. Furthermore, by the same trick, we also prove the singular anisotropic Adams' type inequality on bounded domain $Ω\subset \mathbb{R}^n$. |
| title | The singular anisotropic Adams' type inequality in $\mathbb{R}^n$ |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.20978 |