11 citations · 42 across the 30 of their papers we have counts for
8 papers · 1 filter
Multiplicative controllability for nonlinear degenerate parabolic equations between sign-changing states
Giuseppe Floridia, Carlo Nitsch, Cristina Trombetti
In this paper we study the global approximate multiplicative controllability for nonlinear degenerate parabolic Cauchy problems. In particular, we consider a one-dimensional semili…
On the maximal mean curvature of a smooth surface
Vincenzo Ferone, Carlo Nitsch, Cristina Trombetti
Given a smooth simply connected planar domain, the area is bounded away from zero in terms of the maximal curvature alone. We show that in higher dimensions this is not true, and f…
Poincaré trace inequalities in with nonstandard normalization
Andrea Cianchi, Vincenzo Ferone, Carlo Nitsch +1
Extremal functions are exhibited in Poincaré trace inequalities for functions of bounded variation in the unit ball of the -dimensional Euclidean space ${\mathbb…
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…