37 citations · 81 across the 34 of their papers we have counts for
15 papers · 1 filter
Shape optimization with inradius constraint and emergence of honeycomb structures
Dorin Bucur, Giuseppe Buttazzo, Alexis de Villeroché
We maximize the average torsional rigidity among open subsets of with fixed inradius whose complements consist of pairwise disjoint balls of fixed radius $\varepsilo…
Symmetry breaking in the polygonal Szegö-Weinberger inequality as : the longest shortest-fence quadrilateral
Beniamin Bogosel, Dorin Bucur, Ilaria Fragalà
We consider Pólya's problem of finding, among convex sets of prescribed area, the one with the longest shortest fence, in the polygonal setting, namely when the class of competitor…
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 $…
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…
On the Polygonal Faber-Krahn Inequality
Beniamin Bogosel, Dorin Bucur
It has been conjectured by Pólya and Szegö seventy years ago that the planar set which minimizes the first eigenvalue of the Dirichlet-Laplace operator among polygons with side…
Two optimization problems in thermal insulation
Dorin Bucur, Giuseppe Buttazzo, Carlo Nitsch
We consider two optimization problems in thermal insulation: in both cases the goal is to find a thin layer around the boundary of the thermal body which gives the best insulation.…