2 papers
math.AP2025
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…
math.AP2025
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…