| 高艳,李珊,毛井,吴传喜.一类Neumann-型特征值问题的Kr¨oger-型估计*[J].数学年刊A辑,2023,44(2):199~210 |
| 一类Neumann-型特征值问题的Kr¨oger-型估计* |
| Kr¨oger-Type Estimates for a Neumann-Type Eigenvalue Problem |
| Received:February 27, 2022 Revised:March 09, 2023 |
| DOI：10.16205/j.cnki.cama.2023.0014 |
| 中文关键词: 加权Laplace算子, Fourier变换, Kr¨oger-型估计 |
| 英文关键词:The weighted Laplace operator, Fourier transform, Kr¨oger-Type estimates |
| 基金项目:国家自然科学基金(No.11801496, No.11926352), 霍英东教育基金会青年教师基金(No.161004),应用数学湖北省重点实验室和科技大数据湖北省重点实验室(No.2021KF004)的资助. |
| Author Name | Affiliation | | GAO Yan | Faculty of Mathematics and Statistics, Key Laboratory of Applied Mathematics of Hubei Province, Hubei University, Wuhan 430062, China
College of Information Science and Engineering, Wuhan Business University, Wuhan 430056,China. | | LI Shan | Faculty of Mathematics and Statistics, Key Laboratory of Applied Mathematics of Hubei Province, Hubei University, Wuhan 430062, China. | | MAO Jing | Corresponding author. Faculty of Mathematics and Statistics, Key Laboratory of Applied Mathematics of Hubei Province, Hubei University, Wuhan 430062,China | | WU Chuanxi | Faculty of Mathematics and Statistics, Key Laboratory of Applied Mathematics of Hubei Province, Hubei University, Wuhan 430062, China. |
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| 中文摘要: |
| 本文考虑了紧致带边的光滑度量测度空间上同加权Laplace算子有关的一类Neumann-型特征值问题,利用Fourier变换, 给出了该问题的低阶特征值和的Kr¨oger-型估计. |
| 英文摘要: |
| In this paper, the authors consider a Neumann-type eigenvalue problem related to the weighted Laplace operator on compact smooth metric measure space with boundary,and by using the Fourier transform, the authors successfully give the Kr¨oger-type estimates for sums of the eigenvalues of the eigenvalue problem. |
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