非E_2类二阶椭圆组强非线性广义R-H边值问题  

A Class of Strongly Nonlinear Generalized RH Boundary Value Problems for Secondorder Elliptic Systems

作　　者：李明忠 徐定华 

出　　处：《上海大学学报（自然科学版）》1997年第4期355-365,共11页Journal of Shanghai University:Natural Science Edition

基　　金：上海市自然科学基金

摘　　要：本文研究一类二阶椭圆组强非线性广义Ｒｉｅｍａｎｎ－Ｈｉｌｂｅｒｔ边值问题，利用积分方程理论和摄动方法及对近似解序列的先验估计，讨论了边值问题在Ｈａｒｄｙ函数中的可解性．n this paper, a class of strongly nonlinear generalized RiemannHilbert problems for second order elliptic system is studied. By means of the theory of integral equation, the authors use a known method of approximation dealing with a solvable perturbed problem and performing the corresponding limits on account of suitable prior estimates, and prove that the problems possess solutions in Hardy class, the solution w(z) belongs to W12∩W2p(G),p>2.

关 键 词：非线性 边值问题 摄动理论 存在性 椭圆型方程 

分 类 号：O175.25[理学—数学]