2 papers
math.SP2026
Bounds on eigenvalue ratios of quantum graphs
Evans M. Harrell, James B. Kennedy, Gabriel J. Ramos
We study ratios of eigenvalues of the Laplacian on compact metric graphs. Our goals are threefold: First, we prove a sharp Ashbaugh--Benguria-type bound for the ratio of the first…
math.SP2024
On the Fundamental Eigenvalues gap of Sturm-Liouville Operators
Mohammed Ahrami, Zakaria El Allali, Evans M. Harrell
We use methods of direct optimization as in [9] to find the minimizers of the fundamental gap of Sturm-Liouville operators on an interval, under the constraint that the potential i…