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arXiv · 1202.1979

Global minimizers for the doubly-constrained Helfrich energy: the axisymmetric case

Rustum Choksi·Marco Veneroni
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Abstract

Since the pioneering work of Canham and Helfrich, variational formulations involving curvature-dependent functionals, like the classical Willmore functional, have proven useful for shape analysis of biomembranes. We address minimizers of the Canham-Helfrich functional defined over closed surfaces enclosing a fixed volume and having fixed surface area. By restricting attention to axisymmetric surfaces, we prove the existence of global minimizers.

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Rustum Choksi, Marco Veneroni. 2012-02-09. Global minimizers for the doubly-constrained Helfrich energy: the axisymmetric case. https://arxiv.org/abs/1202.1979

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