37 citations · 164 across the 28 of their papers we have counts for
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A monotonicity result for the first Steklov-Dirichlet Laplacian eigenvalue
Nunzia Gavitone, Gianpaolo Piscitelli
In this paper, we consider the first Steklov-Dirichlet eigenvalue of the Laplace operator in annular domain with a spherical hole. We prove a monotonicity result with respect the h…
Sharp estimates for the Gaussian torsional rigidity with Robin boundary conditions
Francesco Chiacchio, Nunzia Gavitone, Carlo Nitsch +1
In this paper we provide a comparison result between the solutions to the torsion problem for the Hermite operator with Robin boundary conditions and the one of a suitable symmetri…
Two inequalities for the first Robin eigenvalue of the Finsler Laplacian
Giuseppina Di Blasio, Nunzia Gavitone
Let Ωbe a bounded connected, open set of \R^n with Lipschitz boundary. Let F be a suitable norm in \R^n and let Δ_F u be the so-colled Finsler Laplacian. In this paper we prove two…
The Faber-Krahn inequality for the Hermite operator with Robin boundary condition
Francesco Chiacchio, Nunzia Gavitone
In this paper we prove a Faber-Krahn type inequality for the first eigenvalue of the Hermite operator with Robin boundary condition. We prove that the optimal set is an half-space…
An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole
Nunzia Gavitone, Gloria Paoli, Gianpaolo Piscitelli +1
In this paper we prove the existence of a maximum for the first Steklov-Dirichlet eigenvalue in the class of convex sets with a fixed spherical hole under volume constraint. More p…