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math.AP2025
On the eigenvalues of the biharmonic operator on annuli
Davide Buoso, Riccardo Molinarolo
We show that the fundamental tone of the bilaplacian with Dirichlet or Navier boundary conditions on radially symmetric domains is always simple in dimension . In dimension…
math.AP2025
Sharp inequalities and asymptotics for polyharmonic eigenvalues
Davide Buoso, Pedro Freitas
We study eigenvalues of general scalar Dirichlet polyharmonic problems in domains in . We first prove a number of inequalities satisfied by the eigenvalues on genera…