24 citations · 168 across the 32 of their papers we have counts for
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math.AP2017★ 12 cited
Two examples of minimal Cheeger sets in the plane
Gian Paolo Leonardi, Giorgio Saracco
We construct two minimal Cheeger sets in the Euclidean plane, i.e. unique minimizers of the ratio "perimeter over area" among their own measurable subsets. The first one gives a co…
math.AP2017★ 17 cited
Rigidity and trace properties of divergence-measure vector fields
Gian Paolo Leonardi, Giorgio Saracco
We consider a -rigidity property for divergence-free vector fields in the Euclidean -space, where is a non-negative convex function vanishing only at . We show th…
math.AP2017★ 21 cited
The Cheeger constant of a Jordan domain without necks
Gian Paolo Leonardi, Robin Neumayer, Giorgio Saracco
We show that the maximal Cheeger set of a Jordan domain without necks is the union of all balls of radius contained in . Here, denotes the Cheeger con…