Local multiplicity for fractional linear equations with Hardy potentials
Analysis of PDEs
2024-12-10 v3
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.
Cite
@article{arxiv.2407.04414,
title = {Local multiplicity for fractional linear equations with Hardy potentials},
author = {Edoardo Mainini and Roberto Ognibene and Bruno Volzone},
journal= {arXiv preprint arXiv:2407.04414},
year = {2024}
}