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On the Sobolev and Hardy constants for the fractional Navier Laplacian

By Roberta Musina and Alexander I. Nazarov


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 $\mathbb R^n$.Comment: 12 page

Topics: Mathematics - Analysis of PDEs, 35R11, 35A23, 35B50
Year: 2014
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