Weighted Cheeger constant and first eigenvalue lower bound estimates on smooth metric measure spaces
Weighted Cheeger constant and first eigenvalue lower bound estimates on smooth metric measure spaces
Abstract We establish new eigenvalue inequalities in terms of the weighted Cheeger constant for drifting p -Laplacian on smooth metric measure spaces with or without boundary. The weighted Cheeger constant is bounded from below by a geometric constant involving the divergence of suitable vector fields. On the other hand, we …