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math.AP2017★ 1 cited
Sobolev inequalities for Neumann Laplacians on half spaces
Roberta Musina, Alexander I. Nazarov
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 Lapla…
math.AP2017
Fractional Hardy-Sobolev inequalities on half spaces
Roberta Musina, Alexander I. Nazarov
We investigate the existence of extremals for Hardy-Sobolev inequalities involving the Dirichlet fractional Laplacian of order s, 0<s<1, on half-spaces.
math.AP2017
A note on truncations in fractional Sobolev spaces
Roberta Musina, Alexander I. Nazarov
We study the Nemytskii operators and in fractional Sobolev spaces , .