2 papers
math.AP2020
A Sharp Isoperimetric Inequality for the Second Eigenvalue of the Robin Plate
L. Mercredi Chasman, Jeffrey J. Langford
Among all bounded domains with equal volume, we show that the second eigenvalue of the Robin plate is uniquely maximized by an open ball, so long as the Robin paramete…
math.SP2018
On Clamped Plates with Log-Convex Density
L. M. Chasman, Jeffrey J Langford
We consider the analogue of Rayleigh's conjecture for the clamped plate in Euclidean space weighted by a log-convex density. We show that the lowest eigenvalue of the bi-Laplace op…