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math.SP2021
On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set
Francesco Ferraresso, Luigi Provenzano
Let be a bounded domain in with smooth boundary , and let be the set of points in whose distance from the boundary is smaller than . We pr…
math.SP2021
Upper bounds for the Steklov eigenvalues of the -Laplacian
Luigi Provenzano
In this note we present upper bounds for the variational eigenvalues of the Steklov -Laplacian on domains of , . We show that for the variation…
math.SP2021
On the spectral asymptotics for the buckling problem
Davide Buoso, Paolo Luzzini, Luigi Provenzano +1
We provide a direct proof of Weyl's law for the buckling eigenvalues of the biharmonic operator on a wide class of domains of including bounded Lipschitz domains. The…