一阶非线性椭圆型复方程的间断Riemam边值问题

Discontiunous Riemann Boundary Value Problem for Nonlinear Elliptic Complex Equation of First Order

中文摘要:

      

英文摘要:

      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.