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On the elastic closed plane curves

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Publication:1067598
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DOI10.2996/kmj/1138037048zbMath0581.49027OpenAlexW2069552009MaRDI QIDQ1067598

Hiroshi Yanamoto

Publication date: 1985

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138037048


zbMATH Keywords

variational problembending energyclosed plane curve


Mathematics Subject Classification ID

Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (2)

Closed 1/2-elasticae in the hyperbolic plane ⋮ The critical points of the elastic energy among curves pinned at endpoints



Cites Work

  • An isoperimetric inequality with applications to curve shortening
  • Curve shortening makes convex curves circular
  • Exterior differential systems and the calculus of variations
  • On the total curvature of knots
  • The influence of elasticity on analysis: The classic heritage
  • The influence of elasticity on analysis: Modern developments
  • Codazzi Tensors and Reducible Submanifolds
  • Sur la courbure totale d'une courbe gauche faisant un nœud


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