6 citations · 6 across the 1 of their papers we have counts for
3 papers
math.OC2013
Balls minimize trace constants in BV
Andrea Cianchi, Vincenzo Ferone, Carlo Nitsch +1
Balls are shown to have the smallest optimal constant, among all admissible Euclidean domains, in Poincaré type boundary trace inequalities for functions of bounded variation with…
math.OC2012
A remark on optimal weighted Poincaré inequalities for convex domains
Vincenzo Ferone, Carlo Nitsch, Cristina Trombetti
We prove a sharp upper bound on convex domains, in terms of the diameter alone, of the best constant in a class of weighted Poincaré inequalities. The key point is the study of an…
math.OC2010★ 6 cited
The longest shortest fence and sharp Poincaré-Sobolev inequalities
L. Esposito, V. Ferone, B. Kawohl +2
We prove a long standing conjecture concerning the fencing problem in the plane: among planar convex sets of given area, prove that the disc, and only the disc maximizes the length…