一阶椭圆型复方程组Riemann－Hilbert边值问题

On Riemann-Hilbert Boundary Value Problem for Complex Elliptic System of First Equations

本文以解析函数的边值问题Ｂ的解的存在性为基础，根据它们的先验估计式及利用参数开拓法，导出了满足条件Ｃ的多个复变量的一阶拟线性椭圆型复方程组的Ｒｉｅｍａｎｎ－Ｈｉｌｂｅｒｔ边值问题的可解条件，并给出了解的积分表达式．

On the base of the existence theroem of boudary value problem B of analytic function, according to the prior estimates of its borndary value probems solution and by using the method of parameter extansion, their solvability conditions and integral expression of solutions for Riemann-Hilbert boundary value problems of several complex variables and quasilinear elliptic systems that satisfied the so-called condition C of first order equations is established.