3 papers
math.AP2025
A quantitative Talenti-type comparison result with Robin boundary conditions
Vincenzo Amato, Rosa Barbato, Simone Cito +2
The purpose of this paper is to establish a quantitative version of the Talenti comparison principle for solutions to the Poisson equation with Robin boundary conditions. This quan…
math.AP2025
On the second eigenvalue of the infinity Laplacian with Robin boundary conditions
Vincenzo Amato, Alba Lia Masiello, Carlo Nitsch +1
We study the behaviour, as , of the second eigenvalues of the -Laplacian with Robin boundary conditions and the limit of the associated eigenfunctions. We prove t…
math.AP2025
Estimates on the Neumann and Steklov principal eigenvalues of collapsing domains
Paolo Acampora, Vincenzo Amato, Emanuele Cristoforoni
We investigate the relationship between the Neumann and Steklov principal eigenvalues emerging from the study of collapsing convex domains in . Such a relationship al…