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一阶非线性椭圆组的非线性斜微商的边值问题
引用本文:赵春.一阶非线性椭圆组的非线性斜微商的边值问题[J].宁夏大学学报(自然科学版),1990,11(3):19-29.
作者姓名:赵春
作者单位:宁夏大学数学系
摘    要:本文用不动点定理和连续性方法研究了一阶非线性椭圆组的非线性斜商的边值问题的可解性。

关 键 词:非线性  椭圆组  斜微商  边值问题

The Nonlinear Skew Derivative Problem for First Order Nonlinear Elliptic Equations
Zhao Chun.The Nonlinear Skew Derivative Problem for First Order Nonlinear Elliptic Equations[J].Journal of Ningxia University(Natural Science Edition),1990,11(3):19-29.
Authors:Zhao Chun
Institution:Department of Mathematics
Abstract:In this paper, we disscuss the nonlincar skew derivative problem for a system of first order nonlinear elliptic cquations. A priori estimation of the generalized solutions for the linear cases is obtained. By using successive approximations and continuity, the existence and uniqueness theorem of solutions for the nonlinear problem is also established.
Keywords:system of elliptic equations  skew derivative boundary value problem  continuity method  
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