Compatibility between shape equation and boundary conditions of lipid membranes with free edges
Compatibility between shape equation and boundary conditions of lipid membranes with free edges
Only some special open surfaces satisfying the shape equation of lipid membranes can be compatible with the boundary conditions. As a result of this compatibility, the first integral of the shape equation should vanish for axisymmetric lipid membranes, from which two theorems of non-existence are verified: (i) There is no …