Estimates for the Lower Order Eigenvalues of Elliptic Operators in Weighted Divergence Form
Received:March 31, 2016  Revised:December 09, 2016
Key Word: universal inequalities   drifting Laplacian   elliptic operators in weighted divergence form   smooth metric measure space  
Fund ProjectL: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).
Author NameAffiliation
Yanli LI School of Electronic and Information Science, Jingchu University of Technology, Hubei 448000, P. R. China 
Feng DU School of Mathematics and Physics, Jingchu University of Technology, Hubei 448000, P. R. China 
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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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