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 $- I^ u = 0$ in $I^c ◯$ , with mixed boundary conditions: $\partial_{I^} ½ u = I^» u$ on $S$ , and either $\partial_{I^} ½ u = 0$ or $u = 0$ on $W$ . Here,…

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.AP2025

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.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…

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 $K$ …