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

Differential Geometry 2009-11-26 v1 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.0911.4830,
  title  = {Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacins},
  author = {Li Ma and Sheng-hua Du},
  journal= {arXiv preprint arXiv:0911.4830},
  year   = {2009}
}

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8 pages