Massimo Grossi

collaborators

3 papers

math.AP2025

Qualitative analysis on the critical points of the Kirchhoff-Routh function

Francesca Gladiali, Massimo Grossi, Peng Luo +1

In this paper, we study the number of critical points of the Kirchhoff-Routh function \begin{equation*} \mathcal{KR}_D(x,y)=Î_1^2\mathcal{R}_D(x)+Î_2^2\mathcal{R}_D(y)-2Î_1Î_2G…

math.AP2025

The role of the curvature of a surface in the shape of the solutions to elliptic equations

Francesca Gladiali, Massimo Grossi, Luigi Provenzano

We prove uniqueness and non-degeneracy of the critical point of positive, semi-stable solutions of $- I^ u = f (u)$ with Dirichlet boundary conditions for a class of star-shaped domains…

math.AP2025

Solutions to general elliptic equations on nearly geodesically convex domains with many critical points

Alberto Enciso, Francesca Gladiali, Massimo Grossi

Consider a complete $d$ -dimensional Riemannian manifold $(M, g)$ , a point $p \in M$ and a nonlinearity $f (q, u)$ with $f (p, 0) > 0$ . We prove that for any odd integer $N…