F. Prinari

activity

20062021

most citedSome inequalities involving perimeter and torsional rigidity

1 citations · 2 across the 5 of their papers we have counts for

collaborators

6 papers

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(…

math.AP2020★ 1 cited

Some inequalities involving perimeter and torsional rigidity

L. Briani, G. Buttazzo, F. Prinari

We consider shape functionals of the form $F_{q} (Ω) = P (Ω) T^{q} (Ω)$ on the class of open sets of prescribed Lebesgue measure. Here $q > 0$ is fixed, $P (Ω)$ denotes the perimeter of $Ω$ and…

math.OC2020

$Γ$ -convergence for power-law functionals with variable exponents

Francesca Prinari, Michela Eleuteri

We study the $Γ$ -convergence of the functionals $F_{n} (u) := ∣∣ f (\cdot, u (\cdot), D u (\cdot)) ∣ ∣_{p_{n} (\cdot)}$ and $F_{n} (u) := \int_{Ω} \frac{1}{p _{n} ( x )} f^{p_{n} (x)} (x, u (x), D u (x)) d x$ …

math.OC2019

A relaxation result in the vectorial setting and $L^{p}$ -approximation for $L^{\infty}$ -functionals

Francesca Prinari, Elvira Zappale

We provide relaxation for not lower semicontinuous supremal functionals of the type $W^{1,\infty}(Ω;\mathbb R^d) \ni u \mapsto\supess_{ x \in Ω}f(\nabla u(x))$ in the vectorial cas…

math.OC2018

The role of intrinsic distances in the relaxation of $L^{\infty}$ -functionals

Maria Stella Gelli, Francesca Prinari

We consider a supremal functional of the form $F (u) = ess sup_{x \in Ω} f (x, D u (x))$ where $Ω \subseteq R^{N}$ is a regular bounded open set, $u\in W^{1,\inft…

math.AP2006

On the Yamabe equation with rough potentials

Francesca Prinari, Nicola Visciglia

We study the existence of non--trivial solutions to the Yamabe equation: $- Δ u + a (x) = μu ∣ u ∣^{\frac{4}{n - 2}} μ > 0, x \in Ω \subset R^{n} with n \geq 4,$ $$ u(x)=0 \h…