Missing terms in Hardy-Sobolev inequalities
type: Item
instance of: scholarly article
title: Missing terms in Hardy-Sobolev inequalities
zbMATH Open document ID: 1112.35066
author: Alnar Detalla
author: Toshio Horiuchi
author: Hiroshi Ando
published in: Proceedings of the Japan Academy. Series A
publication date: 2005-04-04T00:00:00Z
review text: The aim of this paper is to achieve an optimal improvement of Hardy-Sobolev inequality, by adding a second term involving the singular weight \((\log(1/\left| x\right| ))^{-2}\), in the sense that the improved inequality holds for this weight but fails for any weight more singular than this one.
reviewed by: Nicolae Pop
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 2151802
zbMATH Keywords: Hardy-Sobolev inequality
zbMATH Keywords: eigenvalue
MaRDI profile type: Publication
full work available at URL: pjaa.80.160
OpenAlex ID: W1980901571
cites work: An improved Hardy-Sobolev inequality and its application
cites work: Q4655026
cites work: Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
cites work: Missing terms in generalized Hardy's inequalities and its applications
cites work: Q4714152
cites work: Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces
DOI: 10.3792/PJAA.80.160
description: scientific article; zbMATH DE number 2151802