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math.AP2020
A note on higher order fractional Hardy-Sobolev inequalities
Roberta Musina, Alexander I. Nazarov
We establish some qualitative properties of minimizers in the fractional Hardy--Sobolev inequalities of arbitrary order.
math.AP2020
Complete classification and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications
Roberta Musina, Alexander I. Nazarov
We study linear and non-linear equations related to the fractional Hardy--Sobolev inequality. We prove nondegeneracy of ground state solutions to the basic equation and investigate…