Sobolev inequalities for Neumann Laplacians on half spaces
arXiv:1708.01567
Abstract
We consider different fractional Neumann Laplacians of order s, 0<s<1, namely, the Restricted Neumann Laplacian, the Semirestricted Neumann Laplacian and the Spectral Neumann Laplacian. In particular, we are interested in attainability of Sobolev constants for these operators in half-spaces.
29 pages; few misprints have been fixed