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

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 $n \in \mathbb{N}$, $n\geq 2$.

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Hauptverfasser: Gesztesy, Fritz, Pang, Michael M. H, Stanfill, Jonathan
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creator Gesztesy, Fritz
Pang, Michael M. H
Stanfill, Jonathan
description 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 $n \in \mathbb{N}$, $n\geq 2$.
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subjects Mathematics - Analysis of PDEs
Mathematics - Mathematical Physics
Physics - Mathematical Physics
title Logarithmic Refinements of a Power Weighted Hardy--Rellich-Type Inequality
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