Polar tangential angles and free elasticae
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.
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-03-01
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| Series: | Mathematics in Engineering |
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| Online Access: | http://www.aimspress.com/article/doi/10.3934/mine.2021034?viewType=HTML |