| 一类一般形式的一阶椭圆型方程组的非线性边值问题 |
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| 引用本文： | 李明忠.一类一般形式的一阶椭圆型方程组的非线性边值问题[J].复旦学报(自然科学版),1988(1). |
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| 作者姓名： | 李明忠 |
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| 作者单位： | 复旦大学数学系 |
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| 摘 要： | 本文讨论一类一般形式的拟线性椭圆型方程组的广义Riemann-Hilbert型的非线性边值问题,对其线性问题建立广义解的先验估计,利用逐次迫近法和连续性方法证明这一非线性边值问题广义解的存在性和唯一性。
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| 关 键 词： | 广义解 先验估计 连续性方法。 |
NONLINEAR BOUNDARY VALUE PROBLEMS FOR A CLASS OF FIRST ORDER ELLIPTIC SYSTEMS |
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| Li Mingzhong,.NONLINEAR BOUNDARY VALUE PROBLEMS FOR A CLASS OF FIRST ORDER ELLIPTIC SYSTEMS[J].Journal of Fudan University(Natural Science),1988(1). |
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| Authors: | Li Mingzhong |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper, the nonlinear boundary value problems of generalized Riemann-Hilbert type for a class of first order elliptic systems are discussed. Under priori esti-mates for linear cases, using the succesive approximation method and the continuitymethod, the existence and uniqueness of generalized solution for the above mentionednonlinear boundary value problems are proved. |
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| Keywords: | generalized solution priori estimate continuity method |
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