Calculus of Variations and Geometric Measure Theory

E. Mainini - R. Ognibene - B. Volzone

Local multiplicity for fractional linear equations with Hardy potentials

created by ognibene on 08 Jul 2024



Inserted: 8 jul 2024

Year: 2024

ArXiv: 2407.04414 PDF


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.