English

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

Analysis of PDEs 2025-11-27 v1

Abstract

In this paper, using anisotropic rearrangement techniques, we first establish the best constants for the singular anisotropic Adams' type inequality with exact growth in Rn\mathbb{R}^n. Furthermore, by the same trick, we also prove the singular anisotropic Adams' type inequality on bounded domain ΩRn\Omega\subset \mathbb{R}^n.

Keywords

Cite

@article{arxiv.2511.20978,
  title  = {The singular anisotropic Adams' type inequality in $\mathbb{R}^n$},
  author = {Tao Zhang and Meixia Li and Fan Yang and Chunqin Zhou},
  journal= {arXiv preprint arXiv:2511.20978},
  year   = {2025}
}