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.File in questo prodotto:
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