| 一类一阶椭圆型非线性Riemann—Hilbert问题的整体解 |
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| 引用本文： | 李明忠.一类一阶椭圆型非线性Riemann—Hilbert问题的整体解[J].宁夏大学学报(自然科学版),1998,19(1):9-11. |
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| 作者姓名： | 李明忠 |
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| 作者单位： | 上海大学数学系 |
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| 基金项目： | 国家自然科学基金,上海市自然科学基金 |
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| 摘 要： | 研究在弹性力学中有广泛用的一阶椭圆型偏微分方程组的非线性Ｒｉｅｍａｎｎ－Ｈｉｌｂｅｒｔ边值问题，讨论等价非线性奇异积分方程，得出整体有界解的存在性定理。
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| 关 键 词： | 非线性 边值问题 整体解 椭圆型方程 R－H问题 |
THE INTEGRAL SOLUTION TO NONLINEAR RIEMANN HILBERT PROBLEMS FOR A CLASS OF FIRST ORDER ELLIPTIC SYSTEM |
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| Li,Mingzhong.THE INTEGRAL SOLUTION TO NONLINEAR RIEMANN HILBERT PROBLEMS FOR A CLASS OF FIRST ORDER ELLIPTIC SYSTEM[J].Journal of Ningxia University(Natural Science Edition),1998,19(1):9-11. |
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| Authors: | Li Mingzhong |
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| Institution: | Li Mingzhong Department of Mathematics,Shanghai University,200072,Shanghai,China |
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| Abstract: | Nonliear Riemann Hilbert problems for a class of first order elliptic partial differential system with the general form are studied. And the equivalent nonlinear singular integral equations are established. Then the existence theorem of integral solution of the problems are also obtained. |
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| Keywords: | nonliear boundary value problem integral solution existence theorem |
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