The behavior of nematic liquid crystal with homeotropic orientation in an external electric field is considered when the: flexoelectric effect exists. At the critical field E-c there is phase transition from homeotropic structure to periodic flexoelectric pattern. The dependence of the threshold parameters on the anchoring energy is analyzed in detail. The correlation functions of director fluctuations are calculated. it is shown that these function have a pole in the vicinity of the transition point at the wave number coinciding with one for the periodic structure. The angular dependence of light scattering intensity is studied when the field close to the critical value.