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Let be a smooth, convex, unbounded domain of R N. Denote by 1 (() the …rst nontrivial Neumann eigenvalue of the Hermite operator in ; we prove that 1 (() 1. The result is sharp since equality sign is achieved when is a N-dimensional strip. Our estimate can be equivalently viewed as an optimal Poincaré-Wirtinger inequality for functions belonging to the(More)
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