A Cheeger-type inequality for the drift Laplacian with Wentzell-type boundary condition
arXiv:2503.16093 · doi:10.1007/s00526-026-03310-8
Abstract
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.