Some existence theorems of CMC surfaces
Date Issued
2007
Date
2007
Author(s)
Lai, Chien-Lun
DOI
en-US
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.
Subjects
常均曲率
CMC
nodoid
Type
thesis