10 papers · 1 filter
First Eigenvalue and Torsional Rigidity: Isoperimetric Inequalities for the Fractional Laplacian
Barbara Brandolini, Ida de Bonis, Vincenzo Ferone +2
We present a fractional counterpart of a generalized Kohler-Jobin inequality, showing that, among all bounded, open sets with Lipschitz boundary, having the…
Monotonicity of the Laplace Transform for Tomography in Dissipative Systems
Antonello Tamburrino, Antonio Corbo Esposito, Gianpaolo Piscitelli
This paper addresses the problem of tomography for the interior of dissipative materials, with a focus on Magnetic Induction Tomography (MIT), a proven technique for imaging the in…
On the second anisotropic Cheeger constant and related questions
Gianpaolo Piscitelli
In this paper we study the behavior of the second eigenfunction of the anisotropic -Laplace operator \[ - Q_{p}u:=-\textrm{div} \left(F^{p-1}(\nabla u)F_ξ(\nabla u)\right), \] a…
The inverse obstacle problem for nonlinear inclusions
Vincenzo Mottola, Antonio Corbo Esposito, Luisa Faella +3
The Monotonocity Principle (MP), stating a monotonic relationship between a material property and a proper corresponding boundary operator, is attracting great interest in the fiel…
Symmetry results for a nonlocal nonlinear Poincaré-Wirtinger inequality
Gianpaolo Piscitelli
In this paper, we study the optimal constant in the nonlocal nonlinear Poincaré-Wirtinger inequality in : \begin{equation*} λ_α(p,q,r){\left(\int_{a}^{b}|u|^…
A sharp bound for the first Robin-Dirichlet eigenvalue
Nunzia Gavitone, Gianpaolo Piscitelli
In this paper, we study the first eigenvalue of the Laplacian on doubly connected domains when Robin and Dirichlet conditions are imposed on the outer and the inner part of the bou…