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Abstract
The stationary deformations of nematic layers with a twisted structure are analysed by means of the Taylor expansion method based on catastrophe theory. The role of weak anchoring is investigated. Variations of the polar and azimuthal angles describing the surface director orientation are allowed. The stability of two equilibrium states, the twisted and the homeotropic, is studied. Several types of continuous and discontinuous transitions between them are revealed. The threshold voltages are calculated.