【摘要】 本文讨论一阶复椭圆方程于多连通区域上Riemann-Hilbert这值问题的可解性,为此,我们提出复方程的一种变态Riemann-Hilbert边值问题并建立这变态边值问题解的表示式与先验估计,进而使用参数开拓法证明在一定条件下这个边值问题有一个解。更多还原

【Abstract】 In this paper the solvability of Riemann-Hilbert boundary value problem for the complex ellip- tic equation of first order in a multiply connected domain is discussed. For this sake,a modified Rie- mann-Hilbert boundary value problem for complex equation is proposed and an expression together with a prior estimates of solutions for the modified boundary value problem is established. Thereafter it is proved by using the method of parameter extension that this boundary value problem under cer- tain conditions has a solution.更多还原