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arXiv · 2104.04401

The Faber-Krahn inequality for the Hermite operator with Robin boundary condition

Francesco Chiacchio·Nunzia Gavitone
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Abstract

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.

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Francesco Chiacchio, Nunzia Gavitone. 2021-04-09. The Faber-Krahn inequality for the Hermite operator with Robin boundary condition. https://arxiv.org/abs/2104.04401

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