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Polar tangential angles and free elasticae

  • Received: 13 April 2020 Accepted: 29 April 2020 Published: 21 August 2020
  • 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.

    Citation: Tatsuya Miura. Polar tangential angles and free elasticae[J]. Mathematics in Engineering, 2021, 3(4): 1-12. doi: 10.3934/mine.2021034

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  • 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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  • © 2021 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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