Polar tangential angles and free elasticae
arXiv:2004.06497 · doi:10.3934/mine.2021034
Abstract
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.
11 pages, 5 figures