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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
【摘要】 <正> §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,其边界由
【Abstract】 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.
- 【文献出处】 数学研究与评论 ,Journal of Mathematical Research and Exposition , 编辑部邮箱 ,1989年01期
- 【被引频次】4
- 【下载频次】5