Stability of stationary points for one-dimensional Willmore energy with spatially heterogeneous term

DOI10.1016/j.physd.2020.132812zbMath1486.92059OpenAlexW3114629913MaRDI QIDQ2115701

Ken-Ichi Nakamura, Masaaki Uesaka, Masaharu Nagayama, Kei-Ichi Ueda

Publication date: 21 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2020.132812

zbMATH Keywords

spatial heterogeneityWillmore energycell adhesionepidermal membrane

Mathematics Subject Classification ID

Cell biology (92C37) Classical differential geometry (53A99)

Related Items (1)

A relation between cylindrical critical points of Willmore-type energies, weighted areas and vertical potential energies

Cites Work

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• Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
• Classical solutions to the Dirichlet problem for Willmore surfaces of revolution
• Boundary value problems for Willmore curves in \(\mathbb {R}^2\)

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