A Cheeger inequality for the drift Laplacian with Wentzell boundary condition

Key Points

• The aim is to establish lower bounds for the first non-trivial eigenvalue of the drift Laplacian under Wentzell boundary conditions.
• Proving inequalities related to eigenvalues on manifolds
• Applying Cheeger-type constants for boundary interactions
• Analyzing drift Laplacian properties in geometric contexts
• Establishing lower bounds that relate the eigenvalue to Cheeger-type constants
• Demonstrating the influence of boundary conditions on eigenvalue properties
• Proving parallels to classical Cheeger inequalities in different geometric settings