Francesco Della Pietra

collaborators

3 papers

math.AP2025

Upper and lower bounds for the first Robin eigenvalue of nonlinear elliptic operators

Rosa Barbato, Francesco Della Pietra

Let $I^c ◯$ be a bounded, smooth domain of $R^{N}$ , $N \geq 2$ . In this paper, we prove some inequalities involving the first Robin eigenvalue of the $p$ -laplacian operator. In pa…

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.AP2024

PÃ³lya-type estimates for the first Robin eigenvalue of elliptic operators

F. Della Pietra

The aim of this paper is to obtain optimal estimates for the first Robin eigenvalue of the anisotropic $p$ -Laplace operator, namely: \[ Î»_F(Î²,Î©)=Î»_{F}(p,Î²,Î©)= \min_{Ï\in W^{…