王藹農臺灣大學：數學研究所賴建綸Lai, Chien-LunChien-LunLai2007-11-282018-06-282007-11-282018-06-282007http://ntur.lib.ntu.edu.tw//handle/246246/59447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.1 Introduction ----------------------------------1 2 The 1-parameter family of nodoids -------------2 3 State result and proof ------------------------9 4 An existence theorem for bounded domains -----14 Appendices -------------------------------------18 References -------------------------------------22en-US常均曲率CMCnodoidthesis