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 field...

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Bibliographic Details
Main Authors: Abimbola Abolarinwa, Akram Ali, Ali Alkhadi
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Advances in Difference Equations
Subjects:
Cheeger constant
Drifting Laplacian
Eigenvalues
Riemannian manifold
Mean curvature
Online Access:https://doi.org/10.1186/s13662-021-03431-8

Internet

https://doi.org/10.1186/s13662-021-03431-8

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