G. P. Leonardi

works on

cheeger inequality 1 convex geometry 1 laplacian eigenvalues 1 principal widths 1 rhomboid-like sets 1

From the 1 of 9 linked papers with an AI index.

activity

20242026

collaborators

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3 papers · 1 filter

math.AP2025

Stability of axial free-boundary hyperplanes in circular cones

Gian Paolo Leonardi, Giacomo Vianello

Given an axially-symmetric, $(n + 1)$ -dimensional convex cone $I^c ◯ \subset R^{n + 1}$ , we study the stability of the free-boundary minimal surface $I^£$ obtained by intersecting…

math.AP2025

Measures in the dual of $B V$ : perimeter bounds and relations with divergence-measure fields

Giovanni E. Comi, Gian Paolo Leonardi

We analyze some properties of the measures in the dual of the space $B V$ , by considering (signed) Radon measures satisfying a perimeter bound condition, which means that the absolu…

math.AP2024

The prescribed mean curvature measure equation in non-parametric form

Gian Paolo Leonardi, Giovanni Eugenio Comi

We introduce a weak formulation of the non-parametric prescribed mean curvature equation with measure data and show the existence and several properties of $B V$ solutions under nat…

Stability of axial free-boundary hyperplanes in circular cones

Measures in the dual of BV: perimeter bounds and relations with divergence-measure fields

The prescribed mean curvature measure equation in non-parametric form

Measures in the dual of $B V$ : perimeter bounds and relations with divergence-measure fields