An Improved Hardy-Rellich Inequality with Optimal Constant

<p/> <p>We show that a Hardy-Rellich inequality with optimal constants on a bounded domain can be refined by adding remainder terms. The procedure is based on decomposition into spherical harmonics.</p>

Bibliographic Details
Main Authors: Yang Qiao-Hua, Xiao Ying-Xiong
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2009/610530
Description
Summary:<p/> <p>We show that a Hardy-Rellich inequality with optimal constants on a bounded domain can be refined by adding remainder terms. The procedure is based on decomposition into spherical harmonics.</p>
ISSN:1025-5834
1029-242X