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math.AP2022
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…
math.AP2022★ 1 cited
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…
math.AP2022
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…