Non-E 2 class of strongly nonlinear generalised R-H boundary value problems for second-order elliptic system期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Non-E 2 class of strongly nonlinear generalised R-H boundary value problems for second-order elliptic system

Authors:	Mingzhong Li Dinghua Xu

Institution:	(1) College of Sciences, Shanghai University, 149 Yanchang Road, 200072 Shanghai

Abstract:	In this paper, a class of strongly non-linear generalised Riemann-Hilbert problems for second-order elliptic system is studied. By means of the theory of integral equations and using an explicit form of the solution, a reduction is made to a nonlinear boundary value problem for two holomorphic functions. And using an approximation dealing with a solvable perturbed problems and suitable prior estimates, we prove that the problems possess solution in Hardy class, the solution w(z) belongs to $W_2^1 (\overline G ) \cap W_p^2 (G),p > 2$ , p>2. Project supported by the National Natural Science Foundation of China (19671056) and Shanghai Scientific Foundation (96ZA14020)

Keywords:	nonlinear boundary value problems perturbed method priori estimation existence theorem
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