13 citations · 40 across the 18 of their papers we have counts for
11 papers · 1 filter
Semiclassical estimates for eigenvalue means of Laplacians on spheres
Davide Buoso, Paolo Luzzini, Luigi Provenzano +1
We compute three-term semiclassical asymptotic expansions of counting functions and Riesz-means of the eigenvalues of the Laplacian on spheres and hemispheres, for both Dirichlet a…
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…
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…
Semiclassical bounds for spectra of biharmonic operators
Davide Buoso, Luigi Provenzano, Joachim Stubbe
We provide complementary semiclassical bounds for the Riesz means of the eigenvalues of various biharmonic operators, with a second term in the expected power of . The…
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…
Shape differentiability of the eigenvalues of elliptic systems
Davide Buoso
We consider second order elliptic systems of partial differential equations subject to Dirichlet and Neumann boundary conditions. We prove analyticity of the elementary symmetric f…
On the eigenvalues of a biharmonic Steklov problem
Davide Buoso, Luigi Provenzano
We consider an eigenvalue problem for the biharmonic operator with Steklov-type boundary conditions. We obtain it as a limiting Neumann problem for the biharmonic operator in a pro…
Shape sensitivity analysis of the eigenvalues of the Reissner-Mindlin system
Davide Buoso, Pier Domenico Lamberti
We consider the eigenvalue problem for the Reissner-Mindlin system arising in the study of the free vibration modes of an elastic clamped plate. We provide quantitative estimates f…
Eigenvalues of poly-harmonic operators on variable domains
Davide Buoso, Pier Domenico Lamberti
We consider a class of eigenvalue problems for poly-harmonic operators, including Dirichlet and buckling-type eigenvalue problems. We prove an analyticity result for the dependence…