Francesco Della Pietra

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20232026

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math.AP2026

Asymptotic behavior of the first Robin eigenvalue of nonlinear operators

Rosa Barbato, Francesco Della Pietra, Alba Lia Masiello

Let $Ω$ 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 $β$ …

math.AP2024

Pólya-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: \[ λ_F(β,Ω)=λ_{F}(p,β,Ω)= \min_{ψ\in W^{1,p}(Ω)…

math.AP2023

On a nonlinear Robin problem with an absorption term on the boundary and $L^{1}$ data

Francesco Della Pietra, Francescantonio Oliva, Sergio Segura de León

We deal with existence and uniqueness of nonnegative solutions to \begin{equation*} \left\{ \begin{array}{l} -Δu = f(x) \text{ in }Ω, \frac{\partial u}{\partial ν} + λ(x) u = \frac…

Asymptotic behavior of the first Robin eigenvalue of nonlinear operators

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

On a nonlinear Robin problem with an absorption term on the boundary and L1 data

On a nonlinear Robin problem with an absorption term on the boundary and $L^{1}$ data