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math.AP2026
Smoothing effect and uniqueness for aggregation diffusion models
Stefano Lisini, Edoardo Mainini
We consider aggregation-diffusion models for a density of mass in , , where the diffusion can be either linear or of porous medium type, while the aggregation…
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.…