This report gives an account of the proof of existence of weak solutions of the von Karman equations presented by Lions, and the proof of uniqueness presented by Boutet de Monvel and Chueshov. The equations consists of a hyperbolic and an elliptic partial differential equation. \\ The existence and uniqueness of weak solutions are shown in the vector distribution sense. \\ The foundation for showing the main results is established in the first three chapters through a number of statements and an introduction to vector distributions and vector valued functions.