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math.AP2025
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…
math.AP2025
Optimal domains for the Cheeger inequality
Giuseppe Buttazzo
In this paper we prove the existence of an optimal domain for the shape optimization problem where and $…
math.AP2025
Asymptotics of nonlinear Robin energies
Giuseppe Buttazzo, Roberto Ognibene
This paper investigates the asymptotic behavior of a class of nonlinear variational problems with Robin-type boundary conditions on a bounded Lipschitz domain. The energy functiona…