R. Barbato

collaborators

3 papers

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.AP2026

First Dirichlet eigenvalue of the weighted 1-Laplacian operator

R. Barbato, J. C. Sabina de Lis, S. Segura de León

In this paper, we study the eigenvalue problem \[\left\{\begin{array}{cl}-\hbox{div}\left(a(x)\frac{Du}{|Du|}\right)=Λ\, b(x)\frac{u}{|u|} & \text{in }Ω\\u=0 & \text{on }\partialΩ,…

math.AP2024

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…