Representation formula for the plane closed elastic curves

zbMath1310.53004MaRDI QIDQ489868

Shoji Yotsutani, Minoru Murai, Waichiro Matsumoto

Publication date: 21 January 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://aimsciences.org/journals/displayPaperPro.jsp?paperID=9240

zbMATH Keywords

exact solutionvariational problemelliptic functionsEuler-Lagrange equationcomplete elliptic integrals

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Explicit solutions, first integrals of ordinary differential equations (34A05) Optimization of shapes other than minimal surfaces (49Q10) Curves in Euclidean and related spaces (53A04)

Related Items (3)

Representation formulas of solutions and bifurcation sheets to a nonlocal Allen-Cahn equation ⋮ The critical points of the elastic energy among curves pinned at endpoints ⋮ Representation formula for traveling waves to a derivative nonlinear Schrödinger equation with the periodic boundary condition

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