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

collaborators

Showing math.OCShow all

3 papers · 1 filter

math.OC2022

On a reverse Kohler-Jobin inequality

Luca Briani, Giuseppe Buttazzo, Serena Guarino Lo Bianco

We consider the shape optimization problems for the quantities $λ (Ω) T^{q} (Ω)$ , where $Ω$ varies among open sets of $R^{d}$ with a prescribed Lebesgue measure. While the charac…

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(…