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math.OC2024
A Vertex-Skipping property for almost-minimizers of the relative perimeter in convex sets
Gian Paolo Leonardi, Giacomo Vianello
Given a convex domain and an almost-minimizer of the relative perimeter in , we prove that the closure of does not contain vert…
math.OC2015
An overview on the Cheeger problem
Gian Paolo Leonardi
This is an expository article presenting various results about the Cheeger problem and its connections with other relevant mathematical problems. In section 2 we synthetically desc…