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Non-existence of Radial Eigenfunctions for the Perturbed Heisenberg Sublaplacian

Fanelli, L.; Mizutani, H.; Roncal, L.; Schiavone, N.M. (2025-01-01)

We prove uniform resolvent estimates in weighted L2-spaces for radial solutions of the sublaplacian  on the Heisenberg group ℍd. The proofs are based on the multipliers methods, and strongly rely on the use of suitable mult...

Uniform resolvent estimates and absence of eigenvalues of biharmonic operators with complex potentials

Fanelli, L.; Cossetti, L.; Krejcirik, D. (2024-01-01)

We quantify the subcriticality of the bilaplacian in dimensions greater than four by providing explicit repulsivity/smallness conditions on complex additive perturbations under which the spectrum remains stable. Our assumpti...

Unique continuation properties from one time for hyperbolic Schrödinger equations

Fanelli, L.; Barcelo, J.; Cassano, B. (2023-01-01)

Uniform resolvent estimates for critical magnetic Schrödinger operators in 2D

Fanelli, L.; Zhang, J.; Zheng, J. (2021-01-01)