Pietro Aldrigo

collaborators

3 papers

math.MG2026

Absolutely continuous curves in spaces of compactly supported densities

Pietro Aldrigo

We give a constructive proof for existence of absolutely continuous curves connecting each pair $μ, ν \in PL_{\infty}^{p} (R^{n})$ , for every $1 \leq p \leq \infty$ , where $…

math.CA2025

Complete characterization of anisotropic geodesics in the Euclidean space

Pietro Aldrigo

Let $F$ be a lower semicontinuous, 1-homogeneous positive function defined on $R^{n}$ . We provide a characterization of absolutely continuous paths that minimize the anisotr…

math.DG2025

Pólya-Szegő inequalities on submanifolds with small total mean curvature

Pietro Aldrigo, Zoltán M. Balogh

We establish Pólya-Szegő-type inequalities (PSIs) for Sobolev-functions defined on a regular $n$ -dimensional submanifold $Σ$ (possibly with boundary) of a $(n + m)$ -dimensional Eucli…