E. Mainini - R. Ognibene - B. Volzone
Local multiplicity for fractional linear equations with Hardy potentials
preprint
Inserted: 8 jul 2024
Year: 2024
Abstract:
We exhibit existence of non-trivial solutions of some fractional linear Schr\"odinger equations which are radial and vanish at the origin. This is in stark contrast to what happens in the local case. We also prove analogous results in the presence of a Hardy potential.