Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacins

2009/11/25 by Ma, Li, Du, Sheng-hua · 5 citations
#35J60 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0911.4830

Abstract

In this paper, we extend the Reilly formula for drifting Laplacian operator and apply it to study eigenvalue estimate for drifting Laplacian operators on compact Riemannian manifolds boundary. Our results on eigenvalue estimates extend previous results of Reilly and Choi and Wang.

Cited by

• Integral Formulas for Differential Forms on Weighted Manifolds and Applications
• Stability of weighted minimal hypersurfaces under a lower 1-weighted Ricci curvature bound
• Choi-Wang inequality for affine connections
• Concavity principles for weighted marginals
• An eigenvalue estimate for self-shrinkers in a Ricci shirinker

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