37 citations · 115 across the 22 of their papers we have counts for
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math.AP2014
Existence of isoperimetric sets with densities "converging from below" in
Guido De Philippis, Giovanni Franzina, Aldo Pratelli
In this paper, we consider the isoperimetric problem in the space with density. Our result states that, if the density f is l.s.c. and converges to a positive limit…
math.OC2014★ 2 cited
On the Cheeger sets in strips and non-convex domains
Gian Paolo Leonardi, Aldo Pratelli
In this paper we consider the Cheeger problem for non-convex domains, with a particular interest in the case of planar strips, which have been extensively studied in recent years.…
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…