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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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2006-01-01
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Series: | Journal of Inequalities and Applications |
Online Access: | http://www.journalofinequalitiesandapplications.com/content/2006/46409 |