On the Sobolev and Hardy constants for the fractional Navier Laplacian

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 ${\mathbb{R}}^n$.

arXiv comment12 pages