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On a class of Rellich inequalities
We prove the Rellich and the 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 constan...
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Published in: | Journal of computational and applied mathematics 2006-09, Vol.194 (1), p.156-172 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | We prove the Rellich and the 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. |
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ISSN: | 0377-0427 1879-1778 |
DOI: | 10.1016/j.cam.2005.06.020 |