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| ???org.dspace.app.webui.jsptag.ItemTag.dcfield??? | Value | Language |
|---|---|---|
| dc.contributor.advisor | 王藹農(Ai-Nung Wang) | |
| dc.contributor.author | Shih-Min Lin | en |
| dc.contributor.author | 林士閔 | zh_TW |
| dc.date.accessioned | 2021-06-08T03:10:48Z | - |
| dc.date.copyright | 2017-07-17 | |
| dc.date.issued | 2015 | |
| dc.date.submitted | 2017-05-03 | |
| dc.identifier.citation | [1] Lawrence Evans. Partial differential equations. 1998.
[2] David Gilbarg and Neil S Trudinger. Elliptic partial differential equations of second order, volume 224. Springer Science & Business Media, 2001. [3] Rafael Lopez. Constant mean curvature graphs on unbounded convex domains. Journal of Differential Equations, 171(1):54–62, 2001. [4] Laurent Mazet. Some uniqueness results for constant mean curvature graphs. arXiv preprint math/0509479, 2005. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/20928 | - |
| dc.description.abstract | 我們考慮常均曲率曲面方程在某些邊界條件下的Dirichlet問題。P.Collon 得出解的存在性，他研究的是極端的例子>因此，本文涉及的是解之唯一性，也就是根據該解的存在性提供的邊界滿足某些條件下，我們最後將得出唯一性的結論。為了完成我們的工作，我們主要參考文獻[1], [2], [4]。 | zh_TW |
| dc.description.abstract | We consider the Dirichlet problem for the constant mean curvature surface equation on domains for some boundary data. The existence are known by P.Collon, he studied the limiting case. So this paper mainly deals with the
uniqueness of the solution. That is, under the condition that the existence of solutions provided that the boundary satisfies a certain condition, we will finally give the uniqueness conclusion. To complete our work, we mainly consult [1], [2], [4]. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-08T03:10:48Z (GMT). No. of bitstreams: 1 ntu-104-R02221006-1.pdf: 234611 bytes, checksum: 1c3091d488752b13006ef385306d6cfd (MD5) Previous issue date: 2015 | en |
| dc.description.tableofcontents | 致謝i
Contents ii 摘要iii Abstract iv 1 Introduction 1 1.1 Literature review . . . . . . . . . . . . . . . . . . . . . . . . . 2 2 Preliminaries 3 3 Uniqueness 4 3.1 Bounds of solutions . . . . . . . . . . . . . . . . . . . . . . . . 4 3.2 Main result and proof . . . . . . . . . . . . . . . . . . . . . . 9 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 | |
| dc.language.iso | en | |
| dc.subject | 最大值原理 | zh_TW |
| dc.subject | 常均曲率 | zh_TW |
| dc.subject | Dirichlet 問題 | zh_TW |
| dc.subject | 唯一性 | zh_TW |
| dc.subject | 凸函數 | zh_TW |
| dc.subject | Maximum principle | en |
| dc.subject | Convex function | en |
| dc.subject | Uniqueness | en |
| dc.subject | Dirichlet problem | en |
| dc.subject | Constant mean curvature | en |
| dc.title | 常均曲率方程解之唯一性
以特定邊界值出發 | zh_TW |
| dc.title | The uniqueness of solutions of CMC equation
for some boundary data | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 105-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 薛克民(Ke-Min Shyue),陳瑞堂(Jui-Tang Chen) | |
| dc.subject.keyword | 常均曲率,Dirichlet 問題,唯一性,凸函數,最大值原理, | zh_TW |
| dc.subject.keyword | Constant mean curvature,Dirichlet problem,Uniqueness,Convex function,Maximum principle, | en |
| dc.relation.page | 16 | |
| dc.identifier.doi | 10.6342/NTU201700788 | |
| dc.rights.note | 未授權 | |
| dc.date.accepted | 2017-05-03 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| Appears in Collections: | 數學系 | |
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| File | Size | Format | |
|---|---|---|---|
| ntu-104-1.pdf Restricted Access | 229.11 kB | Adobe PDF |
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