Luigi Provenzano

activity

20152026

most citedA reverse Faber-Krahn inequality for the magnetic Laplacian

8 citations · 13 across the 14 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.SP2019

Inequalities between Dirichlet and Neumann eigenvalues of the Polyharmonic operators

Luigi Provenzano

We prove that $μ_{k + m}^{m} < λ_{k}^{m}$ , where $μ_{k}^{m}$ ( $λ_{k}^{m}$ ) are the eigenvalues of $(- Δ)^{m}$ on $Ω \subset R^{d}$ , $d \geq 2$ , with Neumann (Dirichlet) boundary conditions.

math.SP2019★ 1 cited

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…

math.SP2019

Semiclassical bounds for spectra of biharmonic operators

Davide Buoso, Luigi Provenzano, Joachim Stubbe

We provide complementary semiclassical bounds for the Riesz means $R_{1} (z)$ of the eigenvalues of various biharmonic operators, with a second term in the expected power of $z$ . The…