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math-ph2012
Global minimizers for axisymmetric multiphase membranes
Rustum Choksi, Marco Morandotti, Marco Veneroni
We consider a Canham-Helfrich-type variational problem defined over closed surfaces enclosing a fixed volume and having fixed surface area. The problem models the shape of multipha…
math.AP2012★ 1 cited
Global minimizers for the doubly-constrained Helfrich energy: the axisymmetric case
Rustum Choksi, Marco Veneroni
Since the pioneering work of Canham and Helfrich, variational formulations involving curvature-dependent functionals, like the classical Willmore functional, have proven useful for…