The critical points of the elastic energy among curves pinned at endpoints
From MaRDI portal
Publication:2062713
DOI10.3934/dcds.2021122zbMath1481.74223arXiv2103.11607OpenAlexW3196866051MaRDI QIDQ2062713
Publication date: 3 January 2022
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.11607
Classical linear elasticity (74B05) Energy minimization in equilibrium problems in solid mechanics (74G65) Variational principles of physics (49S05) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unstable Willmore surfaces of revolution subject to natural boundary conditions
- Representation formula for the plane closed elastic curves
- Symmetry for Willmore surfaces of revolution
- Symmetric Willmore surfaces of revolution satisfying natural boundary conditions
- Maxwell strata in the Euler elastic problem
- Conjugate points in the Euler elastic problem
- Planar \textit{p}-elastic curves and related generalized complete elliptic integrals
- Closed Euler elasticae
- The total squared curvature of closed curves
- On the elastic closed plane curves
- Explicit elastic curves
- Uniqueness for the homogeneous Dirichlet Willmore boundary value problem
- Elasticae in a Riemannian submanifold
- Unified representations of nonlinear splines
- Boundary value problems for Euler-Bernoulli planar elastica. A solution construction procedure
- Explicit formulas, symmetry and symmetry breaking for Willmore surfaces of revolution
- Exponential mapping in Euler's elastic problem
- Curve straightening and a minimax argument for closed elastic curves
- Elastic curves and phase transitions
- The Willmore boundary problem
- Euler elasticae in the plane and the Whitney-Graustein theorem
- Boundary value problems for the one-dimensional Willmore equation
- Symmetric Willmore surfaces of revolution satisfying arbitrary Dirichlet boundary data
- Boundary value problems for variational integrals involving surface curvatures
- Existence, regularity and structure of confined elasticae
- The influence of elasticity on analysis: The classic heritage
- Minimal elastic networks
- Stability and Symmetry in the Navier Problem for the One-Dimensional Willmore Equation
- A Higher Order Model for Image Restoration: The One-Dimensional Case
- Knotted Elastic Curves in R 3
- Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
- High-Order Total Variation-Based Image Restoration
- Euler's Elastica and Curvature-Based Inpainting
- Classical solutions to the Dirichlet problem for Willmore surfaces of revolution
- Nonlinear problems of elasticity
- Boundary value problems for Willmore curves in \(\mathbb {R}^2\)
This page was built for publication: The critical points of the elastic energy among curves pinned at endpoints
