14 citations · 17 across the 15 of their papers we have counts for
20 papers
A unified quantitative approach to Chiti and Kohler--Jobin inequalities
Vincenzo Amato, Luca Barbato, Emanuele Cristoforoni +4
We obtain two quantitative results related to classical rearrangement inequalities for the first Dirichlet eigenvalue. The first one is a quantitative version of Chiti's reverse Hö…
On some functionals for which the ball is a saddle shape
Alba Lia Masiello, Gloria Paoli, Francesco Salerno
In the present paper, we study the maximization problem of the -Torsional rigidity under quermassintegral constraint, with particular emphasis on the role of the ball. Our main…
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 …
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…
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…
The asymptotic behavior of the first Robin eigenvalue with negative parameter as goes to
Rosa Barbato, Francesca de Giovanni, Alba Lia Masiello
In this paper, we want to study the asymptotic behavior of the first -Laplacian eigenvalue, with Robin boundary conditions, with negative boundary parameter. In particular, we p…
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…
A quantitative result for the -Hessian equation
Alba Lia Masiello, Francesco Salerno
In this paper, we study a symmetrization that preserves the mixed volume of the sublevel sets of a convex function, under which, a Pólya-Szeg\H o type inequality holds. We refine t…
The Talenti comparison result in a quantitative form
Vincenzo Amato, Rosa Barbato, Alba Lia Masiello +1
In this paper, we obtain a quantitative version of the classical comparison result of Talenti for elliptic problems with Dirichlet boundary conditions. The key role is played by qu…
Finite element approximation of the Hardy constant
Francesco Della Pietra, Giovanni Fantuzzi, Liviu I. Ignat +3
We consider finite element approximations to the optimal constant for the Hardy inequality with exponent in bounded domains of dimension or . For finite eleme…
A remark on solutions to semilinear equations with Robin boundary conditions
Antonio Celentano, Alba Lia Masiello, Gloria Paoli
Symmetry properties of solutions to elliptic quasilinear equations have been widely studied in the context of Dirichlet boundary conditions. We show that, in the context of Robin b…
Rigidity results for the -Laplacian Poisson problem with Robin boundary conditions
Alba Lia Masiello, Gloria Paoli
Let be an open, bounded and Lipschitz set. We consider the Poisson problem for the Laplace operator associated to with Robin boundary conditions. In…
A Rigidity Result for the Robin Torsion Problem
Alba Lia Masiello, Gloria Paoli
Let be an open, bounded and Lipschitz set. We consider the torsion problem for the Laplace operator associated to with Robin boundary conditions. In thi…
Estimates for Robin -Laplacian eigenvalues of convex sets with prescribed perimeter
Vincenzo Amato, Andrea Gentile, Alba Lia Masiello
In this paper, we prove an upper bound for the first Robin eigenvalue of the -Laplacian with a positive boundary parameter and a quantitative version of the reverse Faber-Krahn…
Sharp inequalities involving the Cheeger constant of planar convex sets
Ilias Ftouhi, Alba Lia Masiello, Gloria Paoli
We are interested in finding sharp bounds for the Cheeger constant via different geometrical quantities, namely the area , the perimeter , the inradius , the cir…
On the solutions to -Poisson equation with Robin boundary conditions when goes to
Vincenzo Amato, Alba Lia Masiello, Carlo Nitsch +1
We study the behaviour, when , of the first -Laplacian eigenvalues with Robin boundary conditions and the limit of the associated eigenfunctions. We prove that th…
Sharp and quantitative estimates for the Torsion of convex sets
Vincenzo Amato, Alba Lia Masiello, Gloria Paoli +1
Let , , be a bounded, open and convex set and let be a positive and non-increasing function depending only on the distance from the boundary of $…
Comparison results for solutions to p-Laplace equations with Robin boundary conditions
Vincenzo Amato, Andrea Gentile, Alba Lia Masiello
In the last decades comparison results of Talenti type for Elliptic Problems with Dirichlet boundary conditions have been widely investigated. In this paper, we generalize the resu…