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 existence and qualitative properties, including symmetry of solutions to some perturbed equations.

Complete classification and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications

Roberta Musina
;
2021-01-01

Abstract

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 existence and qualitative properties, including symmetry of solutions to some perturbed equations.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/1196529
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