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arXiv · 1408.3946

On the Sobolev and Hardy constants for the fractional Navier Laplacian

Roberta Musina·Alexander I. Nazarov
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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 $\mathbb R^n$.

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Roberta Musina, Alexander I. Nazarov. 2014-08-18. On the Sobolev and Hardy constants for the fractional Navier Laplacian. https://arxiv.org/abs/1408.3946

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