On the first eigenvalue of Liouville-type problems
Analysis of PDEs
2025-02-21 v1
Abstract
The aim of this note is to study the spectrum of a linearized Liouville-type problem, characterizing the case in which the first eigenvalue is zero. Interestingly enough, we obtain also point-wise information on the associated first eigenfunction. To this end, we refine the Alexandrov-Bol inequality suitable for our problem and characterize its equality case.
Cite
@article{arxiv.2306.10256,
title = {On the first eigenvalue of Liouville-type problems},
author = {Daniele Bartolucci and Paolo Cosentino and Aleks Jevnikar and Chang-Shou Lin},
journal= {arXiv preprint arXiv:2306.10256},
year = {2025}
}
Comments
14 pages