臺灣大學: 數學研究所陳金次郭孝豪Guo, Siao-HaoSiao-HaoGuo2013-03-212018-06-282013-03-212018-06-282010http://ntur.lib.ntu.edu.tw//handle/246246/249912水管中泡沫的純在性從數學上的角度來看，是一個常均曲率曲面滿足邊界垂直管壁的問題，本文是用固定體積下最小曲面方法來證明這類曲面的純在性。Mathematically, the existence of soap bubbles in the cylinder is the existence of a constant mean curvature surface which is perpendicular to the wall on boundary. In this article, we use the method of minimizing area with fixed volume to solve the problem.7036902 bytesapplication/pdfen-US常均曲率自由邊界問題有界變差邊界接觸角肥皂泡Constant mean curvaturefree boundary problembounded variationcapillary conditionsoap bubblesthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/249912/1/ntu-99-R96221006-1.pdf