Federico Glaudo

activity

20192024

most citedOn the sharp stability of critical points of the Sobolev inequality

43 citations · 43 across the 3 of their papers we have counts for

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.AP2021

Expansion of the fundamental solution of a second-order elliptic operator with analytic coefficients

Federico Franceschini, Federico Glaudo

Let $L$ be a second-order elliptic operator with analytic coefficients defined in $B_{1} \subseteq R^{n}$ . We construct explicitly and canonically a fundamental solution for the…

math.AP2019★ 43 cited

On the sharp stability of critical points of the Sobolev inequality

Alessio Figalli, Federico Glaudo

Given $n \geq 3$ , consider the critical elliptic equation $Δ u + u^{2^{*} - 1} = 0$ in $R^{n}$ with $u > 0$ . This equation corresponds to the Euler-Lagrange equation induced by the S…