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On the Sobolev and Hardy constants for the fractional Navier Laplacian

Published 18 Aug 2014 in math.AP | (1408.3946v1)

Abstract: We prove the coincidence of the Sobolev and Hardy constants relative to the "Dirichlet" and "Navier" fractional Laplacians of any real order $m\in(0,\frac{n}{2})$ over bounded domains in $\mathbb Rn$.

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