Hardy inequalities in strips on ruled surfaces

<p/> <p>We consider the Dirichlet Laplacian in infinite two-dimensional strips defined as uniform tubular neighbourhoods of curves on ruled surfaces. We show that the negative Gauss curvature of the ambient surface gives rise to a Hardy inequality and we use this to prove certain stabili...

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Bibliographic Details
Main Author: Krej&#269;i&#345;&#237;k David
Format: Article
Language:English
Published: SpringerOpen 2006-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2006/46409