We consider different fractional Neumann Laplacians of order $sin(0,1)$ on domains $OmegasubsetR^n$, namely, the Restricted Neumann Laplacian, the Semirestricted Neumann Laplacian and the Spectral Neumann Laplacian. In particular, we are interested in the attainability of Sobolev constants for these operators when Ω is a half-space.

Sobolev inequalities for fractional Neumann Laplacians on half spaces

Musina, Roberta;
2021-01-01

Abstract

We consider different fractional Neumann Laplacians of order $sin(0,1)$ on domains $OmegasubsetR^n$, namely, the Restricted Neumann Laplacian, the Semirestricted Neumann Laplacian and the Spectral Neumann Laplacian. In particular, we are interested in the attainability of Sobolev constants for these operators when Ω is a half-space.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/1144776
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