Federico Glaudo

collaborators

3 papers

math.AP2024

Non-degeneracy, stability and symmetry for the fractional Caffarelli-Kohn-Nirenberg inequality

Nicola De Nitti, Federico Glaudo, Tobias König

The fractional Caffarelli-Kohn-Nirenberg inequality states that $$ \int_{\mathbb{R}^n}\int_{\mathbb{R}^n} \frac{(u(x)-u(y))^2}{|x|^α|x-y|^{n+2s} |y|^α} \mathrm{d} x \, \mathrm{d} y…

math.MG2023

On the Isoperimetric Profile of the Hypercube

Federico Glaudo

We prove that a subset of the hypercube $(0, 1)^{d}$ with volume sufficiently close to $\frac{1}{2}$ has (relative) perimeter greater than or equal to $1$ . This settles a conjecture by Br…

math.NT2023

On The Determination of Sets By Their Subset Sums

Andrea Ciprietti, Federico Glaudo

Let $A$ be a multiset with elements in an abelian group. Let $F S (A)$ be the multiset containing the $2^{∣ A ∣}$ sums of all subsets of $A$ . We study the reconstruction problem ``Give…