Logarithmic Refinements of a Power Weighted Hardy--Rellich-Type Inequality

Fuente: arXiv
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Autori principali: Gesztesy, Fritz, Pang, Michael M. H., Stanfill, Jonathan
Natura: Preprint
Pubblicazione: 2024
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author Gesztesy, Fritz
Pang, Michael M. H.
Stanfill, Jonathan
author_facet Gesztesy, Fritz
Pang, Michael M. H.
Stanfill, Jonathan
contents The principal purpose of this note is to prove a logarithmic refinement of the power weighted Hardy--Rellich inequality on $n$-dimensional balls, valid for the largest variety of underlying parameters and for all dimensions $n \in \mathbb{N}$, $n\geq 2$.
format Preprint
id arxiv_https___arxiv_org_abs_2407_05212
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Logarithmic Refinements of a Power Weighted Hardy--Rellich-Type Inequality
Gesztesy, Fritz
Pang, Michael M. H.
Stanfill, Jonathan
Analysis of PDEs
Mathematical Physics
Primary: 35A23, 35J30, Secondary: 47A63, 47F05
The principal purpose of this note is to prove a logarithmic refinement of the power weighted Hardy--Rellich inequality on $n$-dimensional balls, valid for the largest variety of underlying parameters and for all dimensions $n \in \mathbb{N}$, $n\geq 2$.
title Logarithmic Refinements of a Power Weighted Hardy--Rellich-Type Inequality
topic Analysis of PDEs
Mathematical Physics
Primary: 35A23, 35J30, Secondary: 47A63, 47F05
url https://arxiv.org/abs/2407.05212