论文标题
极性切角和游离弹性
Polar tangential angles and free elasticae
论文作者
论文摘要
在本说明中,我们研究了一般平面曲线的极性切角角的行为,尤其是在单调曲率的某些曲线中证明了其单调性。作为应用程序,我们给出了涉及自由弹性的障碍问题的(非)存在结果。
In this note we investigate the behavior of the polar tangential angle of a general plane curve, and in particular prove its monotonicity for certain curves of monotone curvature. As an application we give (non)existence results for an obstacle problem involving free elasticae.