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

Topics: Mathematics - Analysis of PDEs, 35R11, 35A23, 35B50
Year: 2014
OAI identifier: oai:arXiv.org:1408.3946

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