In this paper we prove a Faber-Krahn type inequality for the first eigenvalue of the Hermite operator with Robin boundary condition. We prove that the optimal set is an half-space and we also address the equality case in such inequality.
@article{arxiv.2104.04401,
title = {The Faber-Krahn inequality for the Hermite operator with Robin boundary condition},
author = {Francesco Chiacchio and Nunzia Gavitone},
journal= {arXiv preprint arXiv:2104.04401},
year = {2021}
}