6 papers
The buckling eigenvalue problem in the annulus
Davide Buoso, Enea Parini
We consider the buckling eigenvalue problem for a clamped plate in the annulus. We identify the first eigenvalue in dependence of the inner radius, and study the number of nodal do…
Extremal eigenvalues of the Dirichlet biharmonic operator on rectangles
D. Buoso, P. Freitas
We study the behaviour of extremal eigenvalues of the Dirichlet biharmonic operator over rectangles with a given fixed area. We begin by proving that the principal eigenvalue is mi…
On the behaviour of clamped plates under large compression
P. R. S. Antunes, D. Buoso, P. Freitas
We determine the asymptotic behaviour of eigenvalues of clamped plates under large compression, by relating this problem to eigenvalues of the Laplacian with Robin boundary conditi…
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…
Analyticity and criticality results for the eigenvalues of the biharmonic operator
Davide Buoso
We consider the eigenvalues of the biharmonic operator subject to several homogeneous boundary conditions (Dirichlet, Neumann, Navier, Steklov). We show that simple eigenvalues and…
A few shape optimization results for a biharmonic Steklov problem
Davide Buoso, Luigi Provenzano
We derive the equation of a free vibrating thin plate whose mass is concentrated at the boundary, namely a Steklov problem for the biharmonic operator. We provide Hadamard-type for…