11 citations · 42 across the 30 of their papers we have counts for
4 papers · 1 filter
The quantitative Faber-Krahn inequality for the Robin Laplacian
D. Bucur, V. Ferone, C. Nitsch +1
We prove a quantitative Faber-Krahn inequality for the first eigenvalue of the Laplace operator with Robin boundary conditions. The asymmetry term involves the square power of the…
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 Polya's inequality for torsional rigidity and first Dirichlet eigenvalue
M. van den Berg, V. Ferone, C. Nitsch +1
Let be an open set in Euclidean space with finite Lebesgue measure . We obtain some properties of the set function defined by $$ F(Ω)=\frac{T(Ω)λ_1(Ω)}{|…