On the capacity approach to non-attainability of Hardy's inequality in \(\mathbb{R}^N\)
type: Item
instance of: scholarly article
title: On the capacity approach to non-attainability of Hardy's inequality in \(\mathbb{R}^N\)
zbMATH Open document ID: 1476.35014
author: D. Cassani
author: Bernhard Ruf
author: Cristina Tarsi
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2019-03-27T00:00:00Z
review text: In this short note the authors used a type of Lorentz spaces approach to study the non-attainability of the standard Hardy inequality for the $p$-Laplacian in \(\mathbb{R}^N\). They prove that in a weak sense the best constant of the Hardy inequality cannot be attained.
reviewed by: Philippe Briet
Mathematics Subject Classification ID: 35A23
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 35B53
Mathematics Subject Classification ID: 35J92
zbMATH DE Number: 7043504
zbMATH Keywords: $p$-Laplacien
zbMATH Keywords: Hardy inequality
zbMATH Keywords: non-attainability
MaRDI profile type: Publication
full work available at URL: dcdss.2019017
OpenAlex ID: W2886555808
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DOI: 10.3934/DCDSS.2019017
description: scientific article; zbMATH DE number 7043504