Mario Santilli

activity

20172026

most citedRectifiability and approximate differentiability of higher order for sets

23 citations · 80 across the 18 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.MG2021

Anisotropic curvature measures and uniqueness of convex bodies

Mario Santilli

We prove that an arbitrary convex body $C \subseteq R^{n + 1}$ , whose $k$ -th anisotropic curvature measure (for $k = 0, \dots, n - 1$ ) is a multiple constant of the anis…

math.OC2021

Regularity of distance functions from arbitrary closed sets

Sławomir Kolasiński, Mario Santilli

We investigate the distance function $δ_{K}^{ϕ}$ from an arbitrary closed subset $K$ of a~finite-dimensional Banach space $(R^{n}, ϕ)$ , equipped with a unifor…

math.AP2021★ 1 cited

Two phase models for elastic membranes with soft inclusions

Mario Santilli, Bernd Schmidt

We derive an effective membrane theory in the thin film limit within a two phase material model for a specimen consisting of an elastic matrix and soft inclusions. The soft inclusi…