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arxiv: 1408.3946 · v1 · pith:OT4YAD5Enew · submitted 2014-08-18 · 🧮 math.AP

On the Sobolev and Hardy constants for the fractional Navier Laplacian

classification 🧮 math.AP
keywords constantsfractionalhardynaviersobolevboundedcoincidencedirichlet
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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 $\mathbb R^n$.

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