Hardy inequalities for Robin Laplacians

In this paper we establish a Hardy inequality for Laplace operators with Robin boundary conditions. For convex domains, in particular, we show explicitly how the corresponding Hardy weight depends on the coefficient of the Robin boundary conditions. We also study several extensions to non-convex and...

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Bibliographic Details
Published in:Journal of functional analysis 2012-06, Vol.262 (12), p.4972-4985
Main Authors: Kovařík, Hynek, Laptev, Ari
Format: Article
Language:English
Subjects:
Hardy inequality
Robin Laplacian
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Summary:In this paper we establish a Hardy inequality for Laplace operators with Robin boundary conditions. For convex domains, in particular, we show explicitly how the corresponding Hardy weight depends on the coefficient of the Robin boundary conditions. We also study several extensions to non-convex and unbounded domains.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2012.03.021