Bibliographic Details
| Title: |
The asymptotic behavior of the first Robin eigenvalue with negative parameter as $p$ goes to $+\infty$ |
| Authors: |
Barbato, Rosa, de Giovanni, Francesca, Masiello, Alba Lia |
| Publication Year: |
2025 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Analysis of PDEs, 35J05, 35J25, 35B40 |
| More Details: |
In this paper, we want to study the asymptotic behavior of the first $p$-Laplacian eigenvalue, with Robin boundary conditions, with negative boundary parameter. In particular, we prove that the limit of the eigenfunctions is a viscosity solution for the infinity Laplacian eigenvalue problem. |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2504.01715 |
| Accession Number: |
edsarx.2504.01715 |
| Database: |
arXiv |
