| Estimates for the Lower Order Eigenvalues of Elliptic Operators in Weighted Divergence Form |
| Received:March 31, 2016 Revised:December 09, 2016 |
| Key Words:
universal inequalities drifting Laplacian elliptic operators in weighted divergence form smooth metric measure space
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11401131) and the Natural Science Foundation of Hubei Provincial Department of Education (Grant No.Q20154301). |
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| Abstract: |
| In this paper, we firstly give a general inequality for the lower order eigenvalues of elliptic operators in weighted divergence form on compact smooth metric measure spaces with boundary (possibly empty). Then using this general inequality, we get some universal inequalities for the lower order eigenvalues of elliptic operators in weighted divergence form on a connected bounded domain in the smooth metric measure spaces. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2017.03.008 |
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