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arXiv:math/0412146 [math.AP]AbstractReferencesReviewsResources

On a class of Rellich inequalities

G. Barbatis, A. Tertikas

Published 2004-12-07Version 1

We prove Rellich and improved Rellich inequalities that involve the distance function from a hypersurface of codimension $k$, under a certain geometric assumption. In case the distance is taken from the boundary, that assumption is the convexity of the domain. We also discuss the best constant of these inequalities.

Comments: 15 pages. To appear in J. Comput. Appl. Math
Categories: math.AP, math.SP
Subjects: 35J20, 35P20
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