4 papers · 1 filter
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…
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…
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 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…