Bifurcating critical points of bending energy under constraints related to the shape of red blood cells.

DOI10.1007/s005260100143zbMath1051.49027OpenAlexW2023898043MaRDI QIDQ1809947

Takeyuki Nagasawa, Izumi Takagi

Publication date: 13 October 2003

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260100143

zbMATH Keywords

stabilityinstabilitycritical pointsbifurcating solutionsminimizer of the bending energysurfaces modeling the shape of red blood cells

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Biophysics (92C05) Surfaces in Euclidean and related spaces (53A05) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (4)

Asymptotics of Willmore Minimizers with Prescribed Small Isoperimetric Ratio ⋮ Analysis on an ODE arisen from studying the shape of a red blood cell. ⋮ Symmetry-Breaking Global Bifurcation in a Surface Continuum Phase-Field Model for Lipid Bilayer Vesicles ⋮ Willmore minimizers with prescribed isoperimetric ratio

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