Year: 2026
Type: preprint
Abstract: In 1952, Pólya proved the inequality $μ_2 < λ_1$ for the eigenvalues of Dirichlet and Neumann problems in domain $Ω\subset \mathbb{R}^d$, $d \ge 2$. In 2026, Tang and Zhang proved the inequality $μ_3 < λ_1$ in the two-dimensional case. We show that $μ_3 < λ_1$ for $d\ge 3$ as well.
Source: arXiv (Cornell University)
Author: Filonov, N.
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221544871