Showing math.SPShow all
2 papers · 1 filter
math.SP2026
A quadratic comparison of Neumann eigenvalues on thin convex domains in arbitrary dimenstion
Qixuan Hu
Let be a bounded convex domain that is thin around a chosen diameter segment. We compare its Neumann spectrum with the spectrum of that segment weighted by th…
math.SP2025
Multiple eigenvalues and the width
Qixuan Hu
We obtain the simplicity of the first Neumann eigenvalue of convex thin domain with boundary in and compact thin manifolds with non-negative Ricci curvature. For convex thin…