On the first eigenvalue of Liouville-type problems

Autor:	Bartolucci, Daniele, Cosentino, Paolo, Jevnikar, Aleks, Lin, Chang-Shou
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs 35J61 35A23 35P15
Druh dokumentu:	Working Paper
Popis:	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. Comment: 14 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.10256 Zobrazit plný text záznamu View this record from Arxiv