On the second eigenvalue of the infinity Laplacian with Robin boundary conditions
Analysis of PDEs
2025-10-29 v2
Abstract
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 that, up to some regularity of the set, the limit of the second eigenvalues is actually the second eigenvalue of the so-called -Laplacian.
Cite
@article{arxiv.2410.13356,
title = {On the second eigenvalue of the infinity Laplacian with Robin boundary conditions},
author = {Vincenzo Amato and Alba Lia Masiello and Carlo Nitsch and Cristina Trombetti},
journal= {arXiv preprint arXiv:2410.13356},
year = {2025}
}