24 citations · 172 across the 23 of their papers we have counts for
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math.MG2023★ 1 cited
On the monotonicity of weighted perimeters of convex bodies
Giorgio Saracco, Giorgio Stefani
We prove that, among weighted isotropic perimeters, only constant multiples of the Euclidean perimeter satisfy the monotonicity property on nested convex bodies. Although the analo…
math.MG2022★ 13 cited
The Cheeger problem in abstract measure spaces
Valentina Franceschi, Andrea Pinamonti, Giorgio Saracco +1
We consider non-negative -finite measure spaces coupled with a proper functional that plays the role of a perimeter. We introduce the Cheeger problem in this framework and e…
math.MG2014★ 13 cited
On the generalized Cheeger problem and an application to 2d strips
Aldo Pratelli, Giorgio Saracco
In this paper we consider the generalization of the Cheeger problem which comes by considering the ratio between the perimeter and a certain power of the volume. This generalizatio…