Francesco Della Pietra

activity

20212026

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

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2026

Optimal insulation and concentration breaking for nonlinear Robin boundary value problems

Francesco Della Pietra, Francescantonio Oliva

We consider an optimal insulation problem for a bounded domain in $R^{N}$ driven by the $p$ -Laplace operator ( $p > 1$ ). We model the convective heat transfer between the body…

math.AP2024★ 1 cited

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

Rosa Barbato, Francesco Della Pietra

Let $Ω$ 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 par…

math.AP2021★ 1 cited

On the behaviour of the first eigenvalue of the $p$ -Laplacian with Robin boundary conditions as $p$ goes to $1$

Francesco Della Pietra, Carlo Nitsch, Francescantonio Oliva +1

In this paper we study the $Γ$ -limit, as $p \to 1$ , of the functional $J_{p} (u) = \frac{\int _{Ω} ∣\nabla u ∣ ^{p} + β \int _{\partial Ω} ∣ u ∣ ^{p}}{\int _{Ω} ∣ u ∣ ^{p}},$ w…

Optimal insulation and concentration breaking for nonlinear Robin boundary value problems

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

On the behaviour of the first eigenvalue of the p-Laplacian with Robin boundary conditions as p goes to 1

On the behaviour of the first eigenvalue of the $p$ -Laplacian with Robin boundary conditions as $p$ goes to $1$