On the Sobolev and Hardy constants for the fractional Navier Laplacian

On the Sobolev and Hardy constants for the fractional Navier Laplacian

We prove the coincidence of the Sobolev and Hardy constants relative to the "Dirichlet" and "Navier" fractional Laplacians of any real order m [setmembership] (0, n/2) over bounded domains in [dbl-struck R] super(n).

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Veröffentlicht in:Nonlinear analysis 2015-07, Vol.121, p.123-129
Hauptverfasser: Musina, Roberta, Nazarov, Alexander I.
Format: Artikel
Sprache:eng
Schlagworte:
Constants
Dirichlet problem
Fluid flow
Nonlinearity
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Beschreibung
Zusammenfassung:We prove the coincidence of the Sobolev and Hardy constants relative to the "Dirichlet" and "Navier" fractional Laplacians of any real order m [setmembership] (0, n/2) over bounded domains in [dbl-struck R] super(n).
ISSN:0362-546X
DOI:10.1016/j.na.2014.09.021