3 citations · 3 across the 12 of their papers we have counts for
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Relations between principal eigenvalue and torsional rigidity with Robin boundary conditions
Giuseppe Buttazzo, Simone Cito, Francesco Solombrino
We consider the torsional rigidity and the principal eigenvalue related to the Laplace operator with Dirichlet and Robin boundary conditions. The goal is to find upper and lower bo…
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 optimization of the Robin eigenvalues in some classes of polygons
Alessandro Carbotti, Simone Cito, Diego Pallara
Given the eigenvalue problem for the Laplacian with Robin boundary conditions, (with the Robin parameter), we consider shape minimization problems if a…
Optimality and stability of the radial shapes for the Sobolev trace constant
Simone Cito
In this work we establish the optimality and the stability of the ball for the Sobolev trace operator among convex sets of prescribed per…