37 citations · 164 across the 28 of their papers we have counts for
3 papers · 1 filter
A reverse Faber--Krahn inequality for the Robin Laplacian with negative boundary parameter: small coupling in all dimensions
Nunzia Gavitone, David Krejcirik, Gloria Paoli
We establish Bareket's conjecture from 1977 for convex domains in all dimensions in the regime of weak boundary coupling. In other words, we consider the Laplace operator, subject…
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…
Efficiency and localisation for the first Dirichlet eigenfunction
Michiel van den Berg, Francesco Della Pietra, Giuseppina Di Blasio +1
Bounds are obtained for the efficiency or mean to peak ratio for the first Dirichlet eigenfunction (positive) for open, connected sets with finite measure in Euclidean s…