Francesco Della Pietra

activity

20242026

collaborators

5 papers

math.AP2026

Asymptotic behavior of the first Robin eigenvalue of nonlinear operators

Rosa Barbato, Francesco Della Pietra, Alba Lia Masiello

Let $I^c ◯$ be a bounded Lipschitz domain of $R^{N}$ , $N \geq 2$ . In this paper, we study the asymptotic behavior of the first Robin eigenvalue of the $p$ -Laplace operator as $Î²…

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.AP2026

Maximization of the efficiency of the first Dirichlet eigenfunction and improved eigenvalue inequalities

Francesco Della Pietra

We study the efficiency of the first Dirichlet eigenfunction $u$ on bounded convex domains $I^c ◯ \subset R^{N}$ , defined as the ratio between the mean value of $u$ on $I^c ◯$ and…

math.AP2025

Weighted Robin eigenvalue problems and nonlinear elliptic equations with general growth in the gradient

Francesco Della Pietra, Giuseppina di Blasio, Giuseppe Riey

We prove an existence result for Robin boundary value problems modeled on \[ \begin{cases} Îu + |\nabla u|^2 + Î»f(x) = 0 & \text{in } Î© \\ \frac{\partial u}{\partial Î½} + Î²u =…

math.AP2024

Existence and regularity results for a class of non-uniformly elliptic Robin problems

Francesco Della Pietra, Giuseppina di Blasio, Teresa Radice

In this paper, we study the existence and the summability of solutions to a Robin boundary value problem whose prototype is the following: $$ \begin{cases} -\text{div}(b(|u|)\nabla…