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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/30236| Title: | 常均曲率曲面的一些存在性定理 Some existence theorems of CMC surfaces |
| Authors: | Chien-Lun Lai 賴建綸 |
| Advisor: | 王藹農(Ai-Nung Wang) |
| Keyword: | 常均曲率, CMC,nodoid, |
| Publication Year : | 2007 |
| Degree: | 碩士 |
| Abstract: | 我們考慮常均曲率曲面在邊界值為0 的Dirichlet 問題, 對存在平滑解的情形下, 使用 nodoid 去限制及估計解的存在. We consider the Dirichlet problem for the constant mean curvature surface equation on domains with boundary data zero. We give sufficient conditions for the existence of smooth solutions provided that the boundary satisfies a certain exterior circle condition. A feature of the work is the use of pieces of nodoids as barriers to make C0 and C1 a priori estimates respectively. |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/30236 |
| Fulltext Rights: | 有償授權 |
| Appears in Collections: | 數學系 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| ntu-96-1.pdf Restricted Access | 411.36 kB | Adobe PDF |
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