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arXiv:math/0302330 [math.AP]AbstractReferencesReviewsResources

Refined geometric L^p Hardy inequalities

G. Barbatis, S. Filippas, A. Tertikas

Published 2003-02-26Version 1

For a bounded convex domain \Omega in R^N we prove refined Hardy inequalities that involve the Hardy potential corresponding to the distance to the boundary of \Omega, the volume of $\Omega$, as well as a finite number of sharp logarithmic corrections. We also discuss the best constant of these inequalities.

Comments: 11 pages, to appear in Commun. Contemp. Math
Categories: math.AP, math.SP
Subjects: 35J20, 35P20, 35P99, 26D10
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