8 citations · 21 across the 20 of their papers we have counts for
21 papers · 1 filter
Maximisers for the second Neumann eigenvalue of annuli in two-dimensional space forms
Luigi Provenzano, Alessandro Savo
We prove a sharp Szegö-Weinberger-type inequality for balanced doubly connected domains in , and . More precisely, the first positive Neuman…
Isoperimetric inequalities and sharp upper bounds for Aharonov-Bohm eigenvalues on surfaces
Marco Michetti, Luigi Provenzano, Alessandro Savo
We consider the first eigenvalue of the magnetic Laplacian with zero magnetic field on simply connected compact surfaces and we establish isoperimetric inequalities and upper bound…
On the isoperimetric inequality for the first positive Neumann eigenvalue on the sphere
Luigi Provenzano, Alessandro Savo
We prove that geodesic disks are the unique maximizers of the first positive Neumann eigenvalue among all simply connected domains in with prescribed area. We then sh…
Semiclassical eigenvalue bounds for compact homogeneous irreducible Riemannian manifolds
Luigi Provenzano, Joachim Stubbe
We exploit an identity for the gradients of Laplacian eigenfunctions on compact homogeneous Riemannian manifolds with irreducible linear isotropy group to obtain asymptotically sha…
A reverse Faber-Krahn inequality for the magnetic Laplacian
Bruno Colbois, Corentin Léna, Luigi Provenzano +1
We consider the first eigenvalue of the magnetic Laplacian in a bounded and simply connected planar domain, with uniform magnetic field and Neumann boundary conditions. We investig…
Geometry of the magnetic Steklov problem on Riemannian annuli
Luigi Provenzano, Alessandro Savo
We study the geometry of the first two eigenvalues of a magnetic Steklov problem on an annulus (a compact Riemannian surface with genus zero and two boundary components), the m…
Geometric bounds for the magnetic Neumann eigenvalues in the plane
Bruno Colbois, Corentin Léna, Luigi Provenzano +1
We consider the eigenvalues of the magnetic Laplacian on a bounded domain of with uniform magnetic field and magnetic Neumann boundary conditions. We find u…
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…
Isoperimetric inequalities for the magnetic Neumann and Steklov problems with Aharonov-Bohm magnetic potential
Bruno Colbois, Luigi Provenzano, Alessandro Savo
We discuss isoperimetric inequalities for the magnetic Laplacian on bounded domains of endowed with an Aharonov-Bohm potential. When the flux of the potential around…
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…
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…
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…
Conformal upper bounds for the eigenvalues of the -Laplacian
Bruno Colbois, Luigi Provenzano
In this note we present upper bounds for the variational eigenvalues of the -Laplacian on smooth domains of complete -dimensional Riemannian manifolds and Neumann boundary co…
Inequalities between Dirichlet and Neumann eigenvalues of the Polyharmonic operators
Luigi Provenzano
We prove that , where () are the eigenvalues of on , , with Neumann (Dirichlet) boundary conditions.
Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results
Bruno Colbois, Luigi Provenzano
We study an eigenvalue problem for the biharmonic operator with Neumann boundary conditions on domains of Riemannian manifolds. We discuss the weak formulation and the classical bo…
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…
Eigenvalues of elliptic operators with density
Bruno Colbois, Luigi Provenzano
We consider eigenvalue problems for elliptic operators of arbitrary order subject to Neumann boundary conditions on bounded domains of the Euclidean -dimensional space. We…
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…
On the stability of some isoperimetric inequalities for the fundamental tones of free plates
Davide Buoso, L. Mercredi Chasman, Luigi Provenzano
We provide a quantitative version of the isoperimetric inequality for the fundamental tone of a biharmonic Neumann problem. Such an inequality has been recently established by Chas…
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…