%0 Journal Article %T An approach for constructing coefficients of degenerate elliptic complex equations %A Guo Chun Wen %J Electronic Journal of Differential Equations %D 2013 %I Texas State University %X This article deals with the inverse problem for degenerate elliptic systems of first order equations with Riemann-Hilbert type map in simply connected domains. Firstly the formulation and the complex form of the problem for the first-order elliptic systems with the degenerate rank 0 are given, and then the coefficients of the systems are constructed by a new complex analytic method. Here we verify and apply the Holder continuity of a singular integral operator. %K Degenerate elliptic complex equations %K coefficients of equations %K method of integral equations %K Holder continuity of a singular integral %U http://ejde.math.txstate.edu/Volumes/2013/72/abstr.html