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20002025
most citedOn Harrell-Stubbe Type Inequalities for the Discrete Spectrum of a Self-Adjoint Operator

18 citations · 18 across the 3 of their papers we have counts for

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math.AP2025

Fourth order Saint-Venant inequalities: maximizing compliance and mean deflection among clamped plates

Mark Ashbaugh, Dorin Bucur, Richard S. Laugesen +1

We prove a fourth order analogue of the Saint-Venant inequality: the mean deflection of a clamped plate under uniform transverse load is maximal for the ball, among plates of presc…

math.AP2016

A bound for the eigenvalue counting function for Krein--von Neumann and Friedrichs extensions

Mark S. Ashbaugh, Fritz Gesztesy, Ari Laptev +2

For an arbitrary open, nonempty, bounded set , , and sufficiently smooth coefficients , we consider the closed, strictly positive, h…