摘要
§1 问题的提法 本文讨论一阶非线性一致椭圆型复方程 的间断非线性Riemann边值问题。以E表示复平面,D^+表示有界N+1连通区域。
The main purpose of this paper is to discuss the solvability of the discontinuous nonliaear Riemann boundary value problems for nonlinear elliptic system of first orde in a multiply connected domain. For this sake, we first employ the expression of solution fo the complex equation of first order,and give a priori estimations of the solution for discontinuous nonlinear Riemann problem. The reafter we prove the solvability of this boundary value problem by using the continuity method and Schau-der fixpoint theorem.
