| 非线性椭园方程的狄氏问题的多解定理 |
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| 引用本文： | 秦月君.非线性椭园方程的狄氏问题的多解定理[J].贵州大学学报(自然科学版),1990(3). |
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| 作者姓名： | 秦月君 |
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| 作者单位： | 贵州大学数学系 贵阳 |
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| 摘 要： | 本文利用作者在1]中得到的定理1.1和定理1.2得到抽象的多解定理,然后将它们应用于二阶半线性椭圆型方程的狄氏问题,得到它的几个多解定理。
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| 关 键 词： | 非线性椭圆型方程 狄氏问题 多解定理 不动点指数 序Banach空间 正锥 |
Multisolution Theorem of Dirchlet Problem for Nonlinear Elliptic differential Equation |
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| Oin Yue-jun.Multisolution Theorem of Dirchlet Problem for Nonlinear Elliptic differential Equation[J].Journal of Guizhou University(Natural Science),1990(3). |
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| Authors: | Oin Yue-jun |
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| Institution: | Oin Yue-jun Department of Mathematin Gulzhou University,Guiyang |
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| Abstract: | In the present paper, first, we obtain the abstract multisolution throrem by the help of the Theorem 1. 1 and 1. 2 in the paper 1] and then we use those abstract results to the Dirichlet problem of the nonlinear elliptic differential equation of secound order, and obtain mulitisolution theorem for this problem. |
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| Keywords: | Nonlinrear elliptic equation Dirichlet problem Theorem of multiple solutions Ordered Banach space Positive cone Fixed point index |
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