... C.Proof. The result a) is essentially from [32]. For the convenience of the reader we will outline a proof for it after first proving b): The continuity of F (z)=λz + ε(z)z and an application of the ... [15], [5]. On the other hand, intwo dimensions the uniqueness of solutions to general nonlinear elliptic systemsis typically reduced to the study of the pseudoanalytic functions of Bers (cf.[9], ... Pg(z),where P is the Cauchy transform. Therefore, if we denote byS the R-linearoperatorS(g)=S(g), we need to understand the mapping properties of P and the invertibility of the operator I −...