37 citations · 81 across the 34 of their papers we have counts for
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math.AP2025
On Poincaré constants related to isoperimetric problems in convex bodies
Dorin Bucur, Ilaria Fragalà
For any convex set , we provide a lower bound for the inverse of the Poincaré constant in : it refines an inequality in terms of the diamete…
math.AP2025
Spherical caps do not always maximize Neumann eigenvalues on the sphere
Dorin Bucur, Richard S. Laugesen, Eloi Martinet +1
We prove the existence of an open set for which the first positive eigenvalue of the Laplacian with Neumann boundary condition exceeds that of the geodesic d…
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…