The singular anisotropic Adams' type inequality in $\mathbb{R}^n$

Fuente: arXiv
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Autores principales: Zhang, Tao, Li, Meixia, Yang, Fan, Zhou, Chunqin
Formato: Preprint
Publicado: 2025
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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