Showing 2026Show all
3 papers · 1 filter
math.AP2026
Quantitative uniform resolvent estimates
Piero D'Ancona, Jérémy Faupin, David Krejcirik
We derive quantitative uniform resolvent estimates for Schrödinger operators on the half-line with inverse-square potentials, which provide a sharp behaviour in the limit of large…
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.OC2026
Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions
Nunzia Gavitone, David Krejcirik, Gloria Paoli
Motivated by pioneering works of Bandle and Wagner, given a bounded Lipschitz domain with , we consider the Robin-Laplacian torsional rigidity $τ_α(Ω)…