4 citations · 9 across the 26 of their papers we have counts for
32 papers
A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator
Francesco Chiacchio
Let and let be a connected Lipschitz domain, possibly unbounded, symmetric with respect to the origin, and such that $0<\gammaN(Ω)<1$. We assume that the Ga…
Kohler-Jobin inequality for -Laplace operator
Francesco Chiacchio, Vincenzo Ferone, Anna Mercaldo +1
A sharp lower bound for the first Dirichlet eigenvalue of the -laplacian is derived for sets with prescribed -torsional rigidity. The result provides an extension of the clas…
Weighted Dirichlet-type inequalities for the decreasing rearrangement in cylinders
Friedemann Brock, Francesco Chiacchio, Adele Ferone +1
In this paper weighted Dirichlet-type inequalities for the decreasing rearrangement in cylinders are proved. A weighted isoperimetric inequality is also obtained.
Kohler-Jobin inequality for -Laplace operator in the Gauss space
Francesco Chiacchio, Vincenzo Ferone, Anna Mercaldo +1
A sharp lower bound for the first Dirichlet eigenvalue of the -laplacian in Gaussian space is derived for sets with prescribed generalized torsional rigidity. The result provide…
Isoperimetric Bounds for Weighted Steklov Eigenvalues with Radial Weights
Friedemann Brock, Francesco Chiacchio
We study the following class of Steklov eigenvalue problems: \[ \nabla \cdot \bigl( w \nabla u \bigr) = 0 \quad \text{in } Ω, \qquad \frac{\partial u}{\partial ν} = γv u \quad \tex…
On the reverse isoperimetric inequality in Gauss space
Friedemann Brock, Francesco Chiacchio
In this paper we investigate the reverse isoperimetric inequality with respect to the Gaussian measure for convex sets in . While the isoperimetric problem for the…