Giorgio Saracco

activity

20182026

collaborators

11 papers

math.SP2026

Convex sets with vanishing relative width and the reverse Cheeger inequality

Nicolò Cont, Gian Paolo Leonardi, Giorgio Saracco

We study the reverse Cheeger inequality, which bounds from above the ratio of the first Dirichlet Laplacian eigenvalue to the square of the Cheeger constant. We first extend this i…

math.AP2026

Spectral inequalities for weighted $p$ -Laplacians via Talenti symmetrization

Giulio Bartoli, Giorgio Saracco

We consider the weighted $p$ -Laplacian associated with a measure $μ$ that is absolutely continuous with respect to the Lebesgue measure on an open connected subset $X\subset\mathbb…

math.OC2025

A reverse isoperimetric inequality for the Cheeger constant under width constraint

Ilias Ftouhi, Ilaria Lucardesi, Giorgio Saracco

Henrot and Lucardesi, in Commun. Contemp. Math. (2024), conjectured that among planar convex sets with prescribed minimal width, the equilateral triangle uniquely maximizes the Che…

math.AP2025

On the $Γ$ -limit of weighted fractional energies

Andrea Kubin, Giorgio Saracco, Giorgio Stefani

Given $p \in [1, \infty)$ and a bounded open set $Ω \subset R^{d}$ with Lipschitz boundary, we study the $Γ$ -convergence of the weighted fractional seminorm \[ [u]_{s,p,f}^p = \in…

math.AP2024

Geometric criteria for the existence of capillary surfaces in tubes

Giorgio Saracco

We review some geometric criteria and prove a refined version, that yield existence of capillary surfaces in tubes $Ω \times R$ in a gravity free environment, in the case o…

math.AP2024

Cylindrical estimates for the Cheeger constant and applications

Aldo Pratelli, Giorgio Saracco

We prove a lower bound for the Cheeger constant of a cylinder $Ω \times (0, L)$ , where $Ω$ is an open and bounded set. As a consequence, we obtain existence of minimizers for the sha…