%0 Journal Article %T A proof of the invariance of the contact angle in Electrowetting %A C. Scheid %A P. Witomski %J Mathematics %D 2007 %I arXiv %X We prove the invariance of the contact angle in liquid-solid wetting phenomena : an electrified droplet is spreading on a solid surface. The drop is minimizing its energy. We express the differential of this energy with respect to the shape of the drop and deduce necessary conditions for optimality . By variational method, using well-chosen test functions, we obtain the main result about the contact angle between the drop and the solid. %U http://arxiv.org/abs/0707.2669v1