37 citations · 98 across the 17 of their papers we have counts for
18 papers
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…
The first Grushin eigenvalue on cartesian product domains
Paolo Luzzini, Luigi Provenzano, Joachim Stubbe
In this paper we consider the first eigenvalue of the Grushin operator with Dirichlet boundary conditions on a bounded domain of $\mat…
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…
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…
Complementary asymptotically sharp estimates for eigenvalue means of Laplacians
Evans M. Harrell, Luigi Provenzano, Joachim Stubbe
We present asymptotically sharp inequalities, containing a second term, for the Dirichlet and Neumann eigenvalues of the Laplacian on a domain, which are complementary to the famil…
Weyl-type bounds for Steklov eigenvalues
Luigi Provenzano, Joachim Stubbe
We present upper and lower bounds for Steklov eigenvalues for domains in with boundary compatible with the Weyl asymptotics. In particular, we obtain sharp…