Year: 2026
Type: preprint
Abstract: Let $λ_p(Ω)$ be the first Dirichlet eigenvalue of the $p$-Laplacian in a bounded convex open set $Ω\subset\mathbb R^N$, $N\ge2$. We prove that $p\mapstoλ_p(Ω)^{1/p}/π_p$ is strictly decreasing, where $π_p^p$ is the first eigenvalue on the unit interval. Consequently, for $1
Source: arXiv (Cornell University)
Author: Della Pietra, Francesco
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223049362