Luigi Provenzano

works on

cuboid geometry 1 eigenvalue optimization 1 maxwell eigenvalues 1 shape optimization 1 spectral geometry 1

From the 1 of 4 linked papers with an AI index.

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math.SP2026

Remarks on Weyl-type bounds for Steklov eigenvalues

Luigi Provenzano

We prove that, for $n \geq 3$ , there is no constant $C_{n} > 0$ depending only on $n$ such that the Steklov eigenvalues $σ_{k} (Ω)$ satisfy $|\partialΩ|^{\frac 1{n-1}}σ_k(Ω)\leq C_nk^{\fra…

math.SP2026

On a shape optimisation problem for Maxwell's eigenvalues on cuboids

Pier Domenico Lamberti, Luigi Provenzano, Rebecca Sempio

The paper studies how to shape a rectangular box (cuboid) to minimize certain combinations of the first three Maxwell eigenvalues under fixed volume and perimeter, showing that the…