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Sharp Constants in the Hardy–Rellich Inequalities

Optimal constants are found in Hardy–Rellich inequalities containing derivatives of arbitrary (not necessarily integer) order l. Some new inequalities of this type are also obtained.

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Bibliographic Details
Published in:Journal of functional analysis 1999-10, Vol.168 (1), p.121-144
Main Author: Yafaev, D.
Format: Article
Language:English
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Description
Summary:Optimal constants are found in Hardy–Rellich inequalities containing derivatives of arbitrary (not necessarily integer) order l. Some new inequalities of this type are also obtained.
ISSN:0022-1236
1096-0783
DOI:10.1006/jfan.1999.3462