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

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. Krejčiřík, N. Lam, and A. Laptev.

Publication Details

Journal
ArXiv.org
Published
2025-08-13
Primary Topic
Advanced Harmonic Analysis Research
Type
article
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article

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

ArXiv.org
Advanced Harmonic Analysis Research
article

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

article en

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. Krejčiřík, N. Lam, and A. Laptev.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 38%
Advanced Harmonic Analysis Research
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On $L^p$-Hardy inequalities for magnetic $p$-Laplacians · ArXiv.org (2025) | TGRS Research Map | TGRS