Year: 2025
Type: article
Abstract: We prove that on convex domains, first mixed Laplace eigenfunctions have no interior critical points if the Dirichlet region is connected and sufficiently small. We also find two seemingly new estimates on the first mixed eigenvalue to give explicit examples of when the Dirichlet region is sufficiently small.
Source: Journal of Spectral Theory
DOI: 10.4171/jst/569
Author: Lawford Hatcher
Institution: Indiana University Bloomington
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413431305