37 citations · 164 across the 28 of their papers we have counts for
Showing 2026 · math.SPShow all
2 papers · 2 filters
math.SP2026
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…
math.SP2026
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…