F. Prinari

activity

20062026

most citedOn the radiality of constrained minimizers to the Schroedinger-Poisson-Slater energy

34 citations · 36 across the 17 of their papers we have counts for

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7 papers · 1 filter

math.OC2026

Stochastic homogenization of nonconvex unbounded integral functionals with generalized Orlicz growth

Davide Aruta, Francesca Prinari, Francesco Solombrino

We consider the homogenization of random integral functionals which are possibly unbounded, that is, the domain of the integrand is not the whole space and may depend on the space-…

math.OC2023

On the sharp Makai inequality

Francesca Prinari, Anna Chiara Zagati

On a convex bounded open set, we prove that Poincaré-Sobolev constants for functions vanishing at the boundary can be bounded from below in terms of the norm of the distance functi…

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(…

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…