C. Papenfuss, R. Ellinghaus and W. Muschik
Derivation of a differential equation for a cholesteric liquid crystal in electric fields
Mol. Cryst. Liq. Cryst. 192, 1990, 329-333

Lius lemma and some additional equilibrium conditions are used to calculate the stress tensor of a liquid crystal in electromagnetic fields. With the resulting constitutive equations, the balance of moment of momentum in equilibrium yields the differential equation for the director field. The example of a distorted cholesteric helix is treated. The resulting equation is the same one, De Gennes derived another way.