Marco Ghimenti

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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.AP2026

Simplicity of eigenvalues for elliptic problems with mixed Steklov-Robin boundary condition

Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia

This paper investigates the spectral properties of two classes of elliptic problems characterized by mixed Steklov-Robin boundary conditions. Our main objective is to prove that, f…

math.AP2024

Bubble solution for the critical Hartree equation in pierced domain

Marco Ghimenti, Xiaomeng Huang, Angela Pistoia

In this article, we establish the existence of solutions to the following critical Hartree equation \begin{align*} \begin{cases} -Îu=\left(\int_{Î©_\varepsilon}\frac{u^{2_Î¼^*}}{|…