2 papers
math.AP2026
On fractional critical problems with multi-polar Hardy potentials
Edoardo Mainini, Debangana Mukherjee, Roberto Ognibene
We investigate the existence of positive solutions to fractional equations presenting a double criticality: a multi-polar Hardy-type potential and a Sobolev critical nonlinearity.…
math.AP2024
Local multiplicity for fractional linear equations with Hardy potentials
Edoardo Mainini, Roberto Ognibene, Bruno Volzone
We exhibit existence of non-trivial solutions of some fractional linear Schrödinger equations which are radial and vanish at the origin. This is in stark contrast to what happens…