14 citations · 19 across the 14 of their papers we have counts for
3 papers · 1 filter
On the Effectless Cut Method for Laplacian Eigenvalues in any dimensions
Vincenzo Amato, Nunzia Gavitone, Francesca de Giovanni
In this paper, we study the optimization of the first Laplacian eigenvalue on axisymmetric doubly connected domains under positive Robin boundary conditions. Under additional geome…
On some functionals involving torsional rigidity, principal eigenvalue and perimeter
Vincenzo Amato, Carlo Nitsch, Cristina Trombetti +1
In this paper we study some relationships between the first Dirichlet eigenvalue and the torsional rigidity of a domain . We consider the problem of optimizing the…
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…