Alessandro Pigati

activity

20172026

most citedFree boundary minimal surfaces: a nonlocal approach

13 citations · 15 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.CA2026

Gaussian rigidity and width of measures

Alessandro Pigati

Given $0 \leq m < n$ and a positive Radon measure $μ$ on $R^{n}$ with at most polynomial growth, assume that it has finite $m$ -dimensional Gaussian discrepancy, defined as $$\mat…

math.AP2026

Scale-invariant bounds on thin sets for measures satisfying a first-order PDE and the anisotropic Michael-Simon inequality

Guido De Philippis, Luca Gennaioli, Alessandro Pigati +1

We prove mass estimates for PDE-constrained measures on sets of $σ$ -finite $H^{m}$ -measure, assuming an appropriate rank condition. As an application, we derive a Michael-…

math.AP2026

Michael-Simon inequality for anisotropic energies close to the area via multilinear Kakeya-type bounds

Guido De Philippis, Alessandro Pigati

Given an anisotropic integrand $F : Gr_{k} (R^{n}) \to (0, \infty)$ , we can generalize the classical isotropic area by looking at the functional $$\mathcal{F}(Σ^k):=\int_ΣF(T…