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arXiv · 2004.06497

Polar tangential angles and free elasticae

Tatsuya Miura
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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.

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Tatsuya Miura. 2020-04-14. Polar tangential angles and free elasticae. https://doi.org/10.3934/mine.2021034

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