| 一类球内奇异非线性椭圆型方程边值问题的正的径向对称解 |
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| 引用本文： | 许兴业.一类球内奇异非线性椭圆型方程边值问题的正的径向对称解[J].广东教育学院学报,2002,22(2). |
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| 作者姓名： | 许兴业 |
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| 作者单位： | 广东教育学院数学系 广东广州510310 |
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| 摘 要： | 运用打靶法研究一类球内奇异非线性椭圆型方程△u=f(|x|,u,|(?) u|)的边值问题,得到了一个存在正的径向对称解的充分和必要条件,部分的推广了H.Usami于1989年所得的结果.
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| 关 键 词： | 正的径向对称解 边值问题 打靶法 |
The Positive Radial Symmetric Solutions for a Class Elliptic Boundary value Problem in A Ball |
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| XU Xing-ye.The Positive Radial Symmetric Solutions for a Class Elliptic Boundary value Problem in A Ball[J].Journal of Guangdong Education Institute,2002,22(2). |
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| Authors: | XU Xing-ye |
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| Abstract: | In this paper, we study the existence of positive radial symmetric solutions for aclass of singular nonlinear elliptic boundary value problem in a ball with the shootingmethod,and have attained a sufficient and neccessary condition . The results of this paper partly extends the findings of H. Usami in 1989. |
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| Keywords: | Positive radial symmetric solution Boundary value problem shooting method |
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