We prove lower bounds for the eigenvalue of the drift Laplacian, highlighting connections to Cheeger constants for boundary interactions.
We prove lower bounds for the first non-trivial eigenvalue of the drift Laplacian on manifolds with Wentzell-type boundary condition in terms of some Cheeger-type constants for bulk-boundary interactions. Our results are in the spirit of Cheeger’s classical inequality.
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Marie Bormann (2026) studied this question.
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