A Cheeger inequality for the drift Laplacian with Wentzell boundary condition

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.

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Publication Details

Journal
Calculus of Variations and Partial Differential Equations
Published
2026-04-21
DOI
https://doi.org/10.1007/s00526-026-03310-8
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
0.00

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article

A Cheeger inequality for the drift Laplacian with Wentzell boundary condition

Marie Bormann
Calculus of Variations and Partial Differential Equations
Nonlinear Partial Differential Equations
article

A Cheeger inequality for the drift Laplacian with Wentzell boundary condition

Marie Bormann
article en

Abstract

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.

Calculus of Variations and Partial Differential EquationsVol. 65(5)
University of Bonn (DE), Hausdorff Center for Mathematics (DE)
Rheinische Friedrich-Wilhelms-Universität Bonn
Reduced inequalities
Openalex Percentile: Top 5%
Nonlinear Partial Differential Equations
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