On a class of Rellich inequalities

Details On a class of Rellich inequalities On a class of Rellich inequalities

2004-12-07

arxiv.org/abs/math/0412146v1

Mathematics

Analysis of PDEs

15 pages. To appear in J. Comput. Appl. Math

Scientific paper

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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