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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| Format: | Others |
| Language: | en_US |
| Published: |
2007
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| Online Access: | http://ndltd.ncl.edu.tw/handle/94090052411451398213 |
| Summary: | 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.
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