Pietro Aldrigo

collaborators

4 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 $I^¼, I^½ \in PL_{\infty}^{p} (R^{n})$ , for every $1 \leq p \leq \infty$ , where…

math.MG2026

Isoperimetric minimizing movements and AC curves in spaces of measures

Pietro Aldrigo

We define a complete metric structure on the family $PL_{q}^{p} (R^{n})$ of probability measures with densities in $L^{p} (R^{n})$ and finite $q$ -moments. We establish…

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

PÃ³lya-SzegÅ inequalities on submanifolds with small total mean curvature

Pietro Aldrigo, ZoltÃ¡n M. Balogh

We establish PÃ³lya-SzegÅ-type inequalities (PSIs) for Sobolev-functions defined on a regular $n$ -dimensional submanifold $I^£$ (possibly with boundary) of a $(n + m)$ -dimensional Eu…

Absolutely continuous curves in spaces of compactly supported densities

Isoperimetric minimizing movements and AC curves in spaces of measures

Complete characterization of anisotropic geodesics in the Euclidean space

PÃ³lya-SzegÅ inequalities on submanifolds with small total mean curvature

PÃ³lya-SzegÅ inequalities on submanifolds with small total mean curvature