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| 研究生： |
牟柏丞 Mou, Po-Cheng |
|---|---|
| 論文名稱： |
流形上的非線性拉普拉斯算子之梯度估計 A note on gradient estimate for p-Laplacian on complete manifolds |
| 指導教授： |
宋瓊珠
Sung, Chiung-Jue |
| 口試委員: |
高淑蓉
Kao, Shu-Jung 王嘉平 Wang, Jia-Ping |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 數學系 Department of Mathematics |
| 論文出版年： | 2017 |
| 畢業學年度： | 105 |
| 語文別： | 英文 |
| 論文頁數： | 40 |
| 中文關鍵詞： | 流形 、拉普拉斯 、梯度估計 |
| 外文關鍵詞： | manifold, Laplacian, gradient estimate |
| 相關次數： | 點閱：2 下載：0 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
在本篇論文中，我們研究在完備流形上非線性拉普拉斯算子的梯度估計，並研究當主特徵根達到最大值時，流形的頻譜分析。
In this papar, we study the gradient estimate for p-Laplacian on complete manifolds with Ricci curvature bounded from below. We also study the bottom spectrum when the first eigenvalue of the p-Laplacian achieves its maximum.
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