The Faber-Krahn inequality for the Hermite operator with Robin boundary condition
classification
🧮 math.AP
keywords
inequalityboundaryconditionfaber-krahnhermiteoperatorproverobin
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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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