| 带权散度型椭圆算子的低阶特征值估计 |
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| 引用本文： | 李艳丽,杜锋.带权散度型椭圆算子的低阶特征值估计[J].数学研究及应用,2017,37(3):307-316. |
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| 作者姓名： | 李艳丽 杜锋 |
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| 作者单位： | 荆楚理工学院电子信息工程学院, 湖北 荆门 448000,荆楚理工学院数理学院, 湖北 荆门 448000 |
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| 基金项目： | 国家自然科学基金(Grant No.11401131), 湖北省教育厅自然科学基金(Grant No.Q20154301). |
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| 摘 要： | 本文首先给出紧致带边(边界可以为空集)光滑度量测度空间上带权散度型算子的低阶特征值的一个一般不等式,通过使用这个一般不等式,可以得到光滑度量测度空间中有界连通区域上带权散度型算子的低阶特征值的一些万有不等式.
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| 关 键 词： | 万有不等式 drifting拉普拉斯算子 带权散度型算子 光滑度量测度空间 |
| 收稿时间： | 2016/3/31 0:00:00 |
| 修稿时间： | 2016/12/9 0:00:00 |
Estimates for the Lower Order Eigenvalues of Elliptic Operators in Weighted Divergence Form |
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| Yanli LI and Feng DU.Estimates for the Lower Order Eigenvalues of Elliptic Operators in Weighted Divergence Form[J].Journal of Mathematical Research with Applications,2017,37(3):307-316. |
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| Authors: | Yanli LI and Feng DU |
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| Institution: | School of Electronic and Information Science, Jingchu University of Technology, Hubei 448000, P. R. China and 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. |
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| Keywords: | universal inequalities drifting Laplacian elliptic operators in weighted divergence form smooth metric measure space |
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