37 citations · 81 across the 34 of their papers we have counts for
4 papers · 1 filter
Optimal domains for the Cheeger inequality
Dorin Bucur, Giuseppe Buttazzo, Alexis de Villeroché
In this paper we consider the scale invariant shape functional where and (respectively $…
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…
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…
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…