On the Sobolev and Hardy constants for the fractional Navier Laplacian

2014/08/18 by Musina, Roberta, Nazarov, Alexander I.
#35A23 #35B50 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1408.3946

Abstract

We prove the coincidence of the Sobolev and Hardy constants relative to the "Dirichlet" and "Navier" fractional Laplacians of any real order m∈(0,(n)/(2)) over bounded domains in \mathbb Rⁿ.

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