An Improved Hardy-Rellich Inequality with Optimal Constant

An Improved Hardy-Rellich Inequality with Optimal Constant

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.

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Veröffentlicht in:Journal of inequalities and applications 2009-01, Vol.2009 (1), p.610530
Hauptverfasser: Xiao, Ying-Xiong, Yang, Qiao-Hua
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
Research Article
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Zusammenfassung: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.
ISSN:1029-242X
1029-242X
DOI:10.1155/2009/610530