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

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.