34 citations · 36 across the 17 of their papers we have counts for
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math.OC2021
On a class of Cheeger inequalities
Luca Briani, Giuseppe Buttazzo, Francesca Prinari
We study a general version of the Cheeger inequality by considering the shape functional . The infimum and the supremum of $\mathcal…
math.AP2021
A comparison principle for the Lane-Emden equation and applications to geometric estimates
Lorenzo Brasco, Francesca Prinari, Anna Chiara Zagati
We prove a comparison principle for positive supersolutions and subsolutions to the Lane-Emden equation for the Laplacian, with subhomogeneous power in the right-hand side. The…
math.OC2021★ 1 cited
A shape optimization problem on planar sets with prescribed topology
L. Briani, G. Buttazzo, F. Prinari
We consider shape optimization problems involving functionals depending on perimeter, torsional rigidity and Lebesgue measure. The scaling free cost functionals are of the form $P(…