Luigi Provenzano

activity

20142026

most citedA reverse Faber-Krahn inequality for the magnetic Laplacian

8 citations · 21 across the 20 of their papers we have counts for

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Showing 2019 · math.SPShow all

3 papers · 2 filters

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★ 3 cited

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…