L. Briani

activity

20202026

most citedSome inequalities involving perimeter and torsional rigidity

1 citations · 2 across the 8 of their papers we have counts for

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Showing 2021Show all

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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 $F_{p, q} (Ω) = λ_{p}^{1/ p} (Ω) / λ_{q} (Ω)^{1/ q}$ . The infimum and the supremum of $\mathcal…

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(…