8 papers
Asymptotic behavior of the first Robin eigenvalue of nonlinear operators
Rosa Barbato, Francesco Della Pietra, Alba Lia Masiello
Let be a bounded Lipschitz domain of , . In this paper, we study the asymptotic behavior of the first Robin eigenvalue of the -Laplace operator as $β…
Geometrical bounds for the torsion and the first eigenvalue of the Laplacian with Robin boundary condition
Rosa Barbato, Alba Lia Masiello, Rossano Sannipoli
In this paper, we deal with functionals involving the torsion and the first eigenvalue of the Laplacian with Robin boundary conditions (to which we refer as Robin Torsion and Robin…
A quantitative Talenti-type comparison result with Robin boundary conditions
Vincenzo Amato, Rosa Barbato, Simone Cito +2
The purpose of this paper is to establish a quantitative version of the Talenti comparison principle for solutions to the Poisson equation with Robin boundary conditions. This quan…
On the second eigenvalue of the infinity Laplacian with Robin boundary conditions
Vincenzo Amato, Alba Lia Masiello, Carlo Nitsch +1
We study the behaviour, as , of the second eigenvalues of the -Laplacian with Robin boundary conditions and the limit of the associated eigenfunctions. We prove t…
Some shape functionals for the -Hessian equation
Alba Lia Masiello, Francesco Salerno
For a non-empty, bounded, open, and convex set of class , we consider the Torsional Rigidity associated to the -Hessian operator. We first prove Pólya type lower bound for…
Hessian operators, overdetermined problems, and higher order mean curvatures: symmetry and stability results
Nunzia Gavitone, Alba Lia Masiello, Gloria Paoli +1
It is well known that there is a deep connection between Serrin's symmetry result -- dealing with overdetermined problems involving the Laplacian -- and the celebrated Alexandrov's…