摘要
本文主要讨论带有无界可测系数的二阶非线性椭圆型复方程组于多连通区域上的混合边值问题。先给出解的先验估计,引进 Banach 空间,化成积分方程组问题,然后利用Leray—Schauder 不动点定理证明了解的存在定理。本文的最后,还讨论了更一般形式的混合边值问题的可解性。
In this paper,we consider the mixed boundary value problem for nonlinearelliptic systems of second order in the n+1—connected domain.The boundarycondition of the above mixed boundary value problem is as follows:(?)The solvability of the mixed boundary value problem is proved by usinga priori estimate of the solutions and the Leray-Schander fixed-point theo-rem.
出处
《数学杂志》
CSCD
北大核心
1991年第1期77-85,共9页
Journal of Mathematics
