Some existence theorems of CMC surfaces

碩士 === 國立臺灣大學 === 數學研究所 === 95 === 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 fe...

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Bibliographic Details
Main Authors:	Chien-Lun Lai, 賴建綸
Other Authors:	Ai-Nung Wang
Format:	Others
Language:	en_US
Published:	2007
Online Access:	http://ndltd.ncl.edu.tw/handle/94090052411451398213

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spelling	ndltd-TW-095NTU054790052015-12-07T04:04:00Z http://ndltd.ncl.edu.tw/handle/94090052411451398213 Some existence theorems of CMC surfaces 常均曲率曲面的一些存在性定理 Chien-Lun Lai 賴建綸碩士國立臺灣大學數學研究所 95 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. Ai-Nung Wang 王藹農 2007 學位論文 ; thesis 23 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立臺灣大學 === 數學研究所 === 95 === 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.
author2	Ai-Nung Wang
author_facet	Ai-Nung Wang Chien-Lun Lai 賴建綸
author	Chien-Lun Lai 賴建綸
spellingShingle	Chien-Lun Lai 賴建綸 Some existence theorems of CMC surfaces
author_sort	Chien-Lun Lai
title	Some existence theorems of CMC surfaces
title_short	Some existence theorems of CMC surfaces
title_full	Some existence theorems of CMC surfaces
title_fullStr	Some existence theorems of CMC surfaces
title_full_unstemmed	Some existence theorems of CMC surfaces
title_sort	some existence theorems of cmc surfaces
publishDate	2007
url	http://ndltd.ncl.edu.tw/handle/94090052411451398213
work_keys_str_mv	AT chienlunlai someexistencetheoremsofcmcsurfaces AT làijiànlún someexistencetheoremsofcmcsurfaces AT chienlunlai chángjūnqūlǜqūmiàndeyīxiēcúnzàixìngdìnglǐ AT làijiànlún chángjūnqūlǜqūmiàndeyīxiēcúnzàixìngdìnglǐ
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Some existence theorems of CMC surfaces

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