11 citations · 42 across the 30 of their papers we have counts for
5 papers · 1 filter
On a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalue
Vincenzo Ferone, Carlo Nitsch, Cristina Trombetti
For a given bounded Lipschitz set , we consider a Steklov--type eigenvalue problem for the Laplacian operator whose solutions provide extremal functions for the compact embeddin…
Symmetry breaking in a constrained Cheeger type isoperimetric inequality
Barbara Brandolini, Francesco Della Pietra, Carlo Nitsch +1
We study the optimal constant in a Sobolev inequality for BV functions with zero mean value and vanishing outside a bounded open set. We are interested in finding the best possible…
Characterization of ellipsoids through an overdetermined boundary value problem of Monge-Ampère type
Barbara Brandolini, Nunzia Gavitone, Carlo Nitsch +1
The study of the optimal constant in an Hessian-type Sobolev inequality leads to a fully nonlinear boundary value problem, overdetermined with non standard boundary conditions. We…
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…