172 citations · 231 across the 17 of their papers we have counts for
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math.OC2022★ 1 cited
Optimization of the anisotropic Cheeger constant with respect to the anisotropy
Enea Parini, Giorgio Saracco
Given an open, bounded set in , we consider the minimization of the anisotropic Cheeger constant with respect to the anisotropy , under a volume const…
math.OC2019★ 8 cited
On the Cheeger problem for rotationally invariant domains
Vladimir Bobkov, Enea Parini
We investigate the properties of the Cheeger sets of rotationally invariant, bounded domains . For a rotationally invariant Cheeger set , the free boundar…
math.OC2015★ 1 cited
Reverse Cheeger inequality for planar convex sets
Enea Parini
We prove the sharp inequality \[ J(Ω) := \frac{λ_1(Ω)}{h_1(Ω)^2} < \frac{π^2}{4},\] where is any planar, convex set, is the first eigenvalue of the Laplacian under Dir…