Federico Glaudo

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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.AP2019

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…