Published Paper

Inserted: 8 jul 2024
Last Updated: 14 jan 2025

Journal: Calc. Var. and Partial Differential Equations
Year: 2025
Doi: https://doi.org/10.1007/s00526-024-02914-2

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.