14 citations · 19 across the 14 of their papers we have counts for
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On the second eigenvalue of the infinity Laplacian with Robin boundary conditions
Vincenzo Amato, Alba Lia Masiello, Carlo Nitsch +1
We study the behaviour, as , of the second eigenvalues of the -Laplacian with Robin boundary conditions and the limit of the associated eigenfunctions. We prove t…
On the optimal sets in Pólya and Makai type inequalities
Vincenzo Amato, Nunzia Gavitone, Rossano Sannipoli
In this paper, we examine some shape functionals, introduced by Pólya and Makai, involving the torsional rigidity and the first Dirichlet-Laplacian eigenvalue for bounded, open and…
A sharp quantitative nonlinear Poincaré inequality on convex domains
Vincenzo Amato, Dorin Bucur, Ilaria Fragalà
For any , we give a new inequality for the first nontrivial Neumann eigenvalue of the -Laplacian on a convex domain wi…
Quantitative comparison results for first-order Hamilton-Jacobi equations
Vincenzo Amato, Luca Barbato
In this paper, we study a quantitative refinement of a classical symmetrisation result for first-order Hamilton-Jacobi equations. We prove that the deficit in the comparison result…
The geometric size of the fundamental gap
Vincenzo Amato, Dorin Bucur, Ilaria Fragalà
The fundamental gap conjecture proved by Andrews and Clutterbuck in 2011 provides the sharp lower bound for the difference between the first two Dirichlet Laplacian eigenvalues in…