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Sobolev inequalities for Neumann Laplacians on half spaces
Published 4 Aug 2017 in math.AP | (1708.01567v2)
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.
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