| 一类带有奇异非线性项的椭圆方程解的结构 |
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| 引用本文： | 白雪飞,于晓娜.一类带有奇异非线性项的椭圆方程解的结构[J].江西科学,2008,26(1):71-75,96. |
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| 作者姓名： | 白雪飞 于晓娜 |
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| 作者单位： | 东华大学理学院,上海,200051 |
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| 摘 要： | 研究了一类带有奇异非线性项的椭圆型方程在N（N≥2）维单位球B上解的结构。主要讨论了参数在某一特定范围取值时，方程球对称解的唯一性，并最终得到此唯一解即为方程的最小解。主要运用单调公式得到结论的证明。
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| 关 键 词： | 球对称解 奇异非线性项 半线性椭圆方程 |
| 文章编号： | 1001-3679（2008）01-0071-06 |
| 收稿时间： | 2007-09-27 |
| 修稿时间： | 2007-10-27 |
Structure of Solutions of a Class of Elliptic Problem with Singular Nonlinearity |
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| BAI Xue-fei,YU Xiao-na.Structure of Solutions of a Class of Elliptic Problem with Singular Nonlinearity[J].Jiangxi Science,2008,26(1):71-75,96. |
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| Authors: | BAI Xue-fei YU Xiao-na |
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| Institution: | ( College of Science, Donghua University, Shanghai 200051 PRC) |
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| Abstract: | The objective of this paper is to study the structure of solutions of a class of elliptic tunction with singular nonlinearity in B, B is the unit ball in RN（N≥2 ）. The main part of this paper investigate when the value of the parameter are in the given range, the equation has only one radial solution, then the only solution will be the minimal solution. The key ingredient is the use of monotonicity formula. |
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| Keywords: | Radial solution Singular nonlinearity Semilinear elliptic |
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