6 citations · 11 across the 3 of their papers we have counts for
5 papers
Optimal lower bounds for eigenvalues of linear and nonlinear Neumann problems
B. Brandolini, F. Chiacchio, C. Trombetti
In this paper we prove a sharp lower bound for the first nontrivial Neumann eigenvalue for the -Laplace operator in a Lipschitz, bounded domain in . Our estim…
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…
A sharp lower bound for some Neumann eigenvalues of the Hermite operator
B. Brandolini, F. Chiacchio, C. Trombetti
This paper deals with the Neumann eigenvalue problem for the Hermite operator defined in a convex, possibly unbounded, planar domain , having one axis of symmetry passing throug…
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…
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…