1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.SP2022
Global and Local Bounds on the Fundamental Ratio of Triangles and Quadrilaterals
Ryan Arbon
We present a new, computer-assisted, proof that for all triangles in the plane, the equilateral triangle uniquely maximizes the ratio of the first two Dirichlet-Laplacian eigenvalu…
math.SP2020★ 1 cited
A Proof of The Triangular Ashbaugh-Benguria-Payne-Pólya-Weinberger Inequality
Ryan Arbon, Mohammed Mannan, Michael Psenka +1
In this paper, we show that for all triangles in the plane, the equilateral triangle maximizes the ratio of the first two Dirichlet-Laplacian eigenvalues. This is an extension of w…