23 citations · 80 across the 18 of their papers we have counts for
18 papers
The optimal isoperimetric inequality for varifolds
Mario Santilli
We prove the Brendle isoperimetric inequality for varifolds of finite mass and finite total first variation, allowing an arbitrary singular part. The distributional mean curvature…
Quadratic flatness and Regularity for Codimension-One Varifolds with Bounded Anisotropic Mean Curvature
Sławomir Kolasiński, Mario Santilli
We prove that if is a -dimensional varifold in an open subset of with bounded anisotropic mean curvature such that has locally…
Finite total curvature and soap bubbles with almost constant higher-order mean curvature
Mario Santilli
Given and , we study the asymptotic behaviour of sequences of bounded -domains of finite total curvature in conver…
Rigidity and compactness with constant mean curvature in warped product manifolds
Francesco Maggi, Mario Santilli
We prove the rigidity of rectifiable boundaries with constant distributional mean curvature in the Brendle class of warped product manifolds (which includes important models in Gen…
A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions
Mario Santilli, Bernd Schmidt
We consider a two phase elastic thin film with soft inclusions subject to bending dominated deformations. The soft (void) phase may comprise asymptotically small droplets within th…
Curvature measures and soap bubbles beyond convexity
Daniel Hug, Mario Santilli
Extending the celebrated results of Alexandrov (1958) and Korevaar-Ros (1988) for smooth sets, as well as the results of Schneider (1979) and the first author (1999) for arbitrary…