13 citations · 40 across the 18 of their papers we have counts for
7 papers · 1 filter
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…
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…
Bulk-Boundary eigenvalues for Bilaplacian problems
Davide Buoso, Carles Falcó, María del Mar González +1
We initiate the study of a bulk-boundary eigenvalue problem for the Bilaplacian with a particular third order boundary condition that arises from the study of dynamical boundary co…
The Bilaplacian with Robin boundary conditions
Davide Buoso, James B. Kennedy
We introduce Robin boundary conditions for biharmonic operators, which are a model for elastically supported plates and are closely related to the study of spaces of traces of Sobo…
A Minimaxmax Problem for Improving the Torsional Stability of Rectangular Plates
Elvise Berchio, Davide Buoso, Filippo Gazzola +1
We use a gap function in order to compare the torsional performances of different reinforced plates under the action of external forces. Then, we address a shape optimization probl…
A measure of the torsional performances of partially hinged rectangular plates
Elvise Berchio, Davide Buoso, Filippo Gazzola
We introduce a new functional, named gap function, which measures the torsional instability of a partially hinged rectangular plate, aiming to model the deck of a bridge. Then we t…
On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate
Elvise Berchio, Davide Buoso, Filippo Gazzola
We consider a partially hinged rectangular plate and its normal modes. There are two families of modes, longitudinal and torsional. We study the variation of the corresponding eige…