On $L^p$-Hardy inequalities for magnetic $p$-Laplacians

Yi C. Huang; Xinhang Tong

On $L^p$-Hardy inequalities for magnetic $p$-Laplacians

Classical Analysis and ODEs 2025-12-05 v3

Authors: Yi C. Huang , Xinhang Tong

Abstract

In this paper we revisit the remainder terms of $L^p$ -Hardy inequalities for magnetic $p$ -Laplacians. In particular, we will give an integral representation of the sharp constant for a crucial algebraic inequality established by C. Cazacu, D. Krej\v{c}i\v{r}\'ik, N. Lam, and A. Laptev.

Keywords

L^p-Hardy inequality magnetic p-Laplacian sharp constant integral representation remainder terms

Cite

@article{arxiv.2508.09483,
  title  = {On $L^p$-Hardy inequalities for magnetic $p$-Laplacians},
  author = {Yi C. Huang and Xinhang Tong},
  journal= {arXiv preprint arXiv:2508.09483},
  year   = {2025}
}

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