| R^N上一类奇异半线性调和方程的正整体解 |
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| 引用本文： | 徐建荣.R^N上一类奇异半线性调和方程的正整体解[J].漳州职业技术学院学报,2007,9(3):1-4,8. |
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| 作者姓名： | 徐建荣 |
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| 作者单位： | 漳州师范学院数学与信息科学系,福建漳州363000 |
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| 摘 要： | 本文应用上、下解方法在R^N（N≥3）上研究了一类奇异半线性调和方程的正整体解的存在性;同时,为了求其上、下解,以Schauder-Tychonoff不动点定理为工具研究相应方程的径向对称解存在性.
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| 关 键 词： | 正整体解 非径向对称 奇异 不动点定理 |
| 文章编号： | 1673-1417（2007）03-0001-04 |
| 修稿时间： | 2007-02-11 |
The Positive Entire Solutions of Some Class of Singular Semilinear Harmonic Equations in R^N |
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| XU Jian-rong.The Positive Entire Solutions of Some Class of Singular Semilinear Harmonic Equations in R^N[J].Journal of Zhangzhou Technical Institute,2007,9(3):1-4,8. |
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| Authors: | XU Jian-rong |
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| Abstract: | In the paper, an existence theorem of positive entire solution of a class of singular semilinear harmonic equations in RN is established by utilizing supersolution-subsolution method. At the same time, to obtain the disired supersolutions and subsolution, the existence of radially symmetric solutions for the responding equations is also studied by means of Schauder-Tychonoff fixed point theorem. |
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| Keywords: | Positive entire solution Non-radial symmetric Singular Fixed point theorem |
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