Note on an inequality
type: Item
instance of: scholarly article
title: Note on an inequality
zbMATH Open document ID: 1112.53028
author: Yongzhong Xu
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 2006-11-15T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78704
review text: The author proves the case of three masses, of an inequality of discrete type, which is conjectered by A. Bahri and Y. Xu. This inequality arises in a natural way when one tries to establish a Morse lemma at infinity for the Yamabe changing-sign problem on \(S^3\). After providing a proof for \(p=3\), the author presents a heuristic argument which shows why such an inequality should hold for any \(p\) points in \(\mathbb R^3\).
reviewed by: Marian Hotloś
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 5072654
zbMATH Keywords: inequality of discrete type
zbMATH Keywords: Yamabe changing sign problem
zbMATH Keywords: Morse Lemma at infinity
MaRDI profile type: Publication
OpenAlex ID: W1980464318
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DOI: 10.1016/J.ANIHPC.2005.07.002
description: scientific article; zbMATH DE number 5072654