On nonlinear riemann-hilbert boundary value problems for second order elliptic systems in the plane

Abstract

In this paper the well-Known Newton's method approach, whose origin is [18] and is based on a-priori estimates, is used to solve a nonlinear Riemann-Hilbert boundary value problem for second order complex elliptic partial differential equations in the plane . An a-priori estimate is established for solutions to the related linear equations.