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math.MG2024
Three quantitative versions of the Pál inequality
Ilaria Lucardesi, Davide Zucco
The Pál inequality is a classical result which asserts that among all planar convex sets of given width the equilateral triangle is the one of minimal area. In this paper we prove…
math.OC2024
Ahlfors regularity of continua that minimize maxitive set functions
Davide Zucco
The primary objective of this paper is to establish the Ahlfors regularity of minimizers of set functions that satisfy a suitable maxitive condition on disjoint unions of sets. Our…