Angela Pistoia

activity

20242026

collaborators

5 papers

math.AP2026

On the simplicity of the sloshing eigenvalues

Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia

This paper investigates sloshing problems defined by $- Δ u = 0$ in $Ω$ , with mixed boundary conditions: $\partial_{ν} u = λ u$ on $S$ , and either $\partial_{ν} u = 0$ or $u = 0$ on $W$ . Here, $Ω$ …

math.AP2025

A note on the first Steklov eigenvalue on planar domains

Azahara DelaTorre, Gabriele Mancini, Angela Pistoia +1

We consider the first positive Steklov eigenvalue on planar domains. First, we provide an example of a planar domain for which a first eigenfunction has a closed nodal line. Second…

math.AP2024

New solutions for the Lane-Emden problem on planar domains

Luca Battaglia, Isabella Ianni, Angela Pistoia

We consider the Lane-Emden problem on planar domains. When the exponent is large, the existence and multiplicity of solutions strongly depend on the geometric properties of the dom…

math.SP2024

Nonexistence of Courant-type nodal domain bounds for eigenfunctions of the Dirichlet-to-Neumann operator

Alberto Enciso, Angela Pistoia, Luigi Provenzano

Given a compact manifold $M$ with boundary of dimension $n \geq 3$ and any integers $K$ and $N$ , we show that there exists a metric on $M$ for which the first $K$ …

math.AP2024

On the critical points of Steklov eigenfunctions

Luca Battaglia, Angela Pistoia, Luigi Provenzano

We consider the critical points of Steklov eigenfunctions on a compact, smooth $n$ -dimensional Riemannian manifold $M$ with boundary $\partial M$ . For generic metrics on $M$ we est…