Francesco Della Pietra

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20172024

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math.AP2024

Some remarks on optimal insulation with Robin boundary conditions

Francesco Della Pietra, Francescantonio Oliva

We consider an optimal insulation problem of a given domain in $R^{N}$ . We study a model of heat trasfer determined by convection; this corresponds, before insulation, to a R…

math.AP2020

An optimization problem in thermal insulation with Robin boundary conditions

Francesco Della Pietra, Carlo Nitsch, Riccardo Scala +1

We study thermal insulating of a bounded body $Ω \subset R^{n}$ . Under a prescribed heat source $f \geq 0$ , we consider a model of heat transfer between $Ω$ and the environmen…

math.AP2018

Motion of level sets by inverse anisotropic mean curvature

Francesco Della Pietra, Nunzia Gavitone, Chao Xia

In this paper we consider the weak formulation of the inverse anisotropic mean curvature flow, in the spirit of Huisken-Ilmanen. By using approximation method involving Finsler-p-L…

math.AP2017

Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle

Francesco Della Pietra, Giuseppina di Blasio, Nunzia Gavitone

In this paper we study optimal lower and upper bounds for functionals involving the first Dirichlet eigenvalue $λ_{F} (p, Ω)$ of the anisotropic $p$ -Laplacian, $1 < p < + \infty$ . Our aim…

math.AP2017

On functionals involving the torsional rigidity related to some classes of nonlinear operators

Francesco Della Pietra, Nunzia Gavitone, Serena Guarino Lo Bianco

In this paper we study optimal estimates for two functionals involving the anisotropic $p$ -torsional rigidity $T_{p} (Ω)$ , $1 < p < + \infty$ . More precisely, we study $Φ(Ω)=\frac{T_p(Ω)}{…