11 citations · 42 across the 30 of their papers we have counts for
3 papers · 2 filters
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…
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…