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arXiv 2004-12-07 0 views

On a class of Rellich inequalities

Barbatis, G. · Tertikas, A.

Original · EN

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.

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