Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacians |
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Authors: | Li Ma Sheng-Hua Du |
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Institution: | 1. Department of Mathematics, Henan Normal University, Xinxiang, 453007, China;2. Department of Mathematics, Tsinghua University, Beijing, 100084, China |
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Abstract: | In this Note, 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. |
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