37 citations · 81 across the 34 of their papers we have counts for
4 papers · 1 filter
Sharp Quantitative Stability of the Dirichlet spectrum near the ball
Dorin Bucur, Jimmy Lamboley, Mickaël Nahon +1
Let be an open set with the same volume as the unit ball and let be the -th eigenvalue of the Laplace operator of with Dirichlet boundary…
The nonlocal isoperimetric problem for polygons: Hardy-Littlewood and Riesz inequalities
Beniamin Bogosel, Dorin Bucur, Ilaria Fragalà
Given a non-increasing and radially symmetric kernel in , we investigate counterparts of the classical Hardy-Littlewood and Riesz inequa…
Mean-to-max ratio of the torsion function and honeycomb structures
Luca Briani, Dorin Bucur
In this paper we study extremal behaviors of the mean to max ratio of the -torsion function with respect to the geometry of the domain. For larger than the dimension of the…
A free discontinuity approach to optimal profiles in Stokes flows
Dorin Bucur, Antonin Chambolle, Alessandro Giacomini +1
In this paper we study obstacles immerged in a Stokes flow with Navier boundary conditions. We prove the existence and regularity of an obstacle with minimal drag, among all shapes…