| 具有Hardy位势和临界指数的Kirchhoff型方程的正解 |
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| 引用本文： | 柳鸠,严忠权.具有Hardy位势和临界指数的Kirchhoff型方程的正解[J].西南师范大学学报(自然科学版),2019,44(4):37-40. |
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| 作者姓名： | 柳鸠 严忠权 |
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| 作者单位： | 黔南民族师范学院数学与统计学院复杂系统与计算智能重点实验室 |
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| 基金项目： | 国家自然科学基金项目（11861052）；黔南民族师范学院项目（QNSY2018BS014，QNYSKYTD2018012，QNSYRC201621，QNSYK201606）. |
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| 摘 要： | 根据全空间中半线性椭圆方程的结果,利用伸缩讨论、分析技巧和一些精细的计算,给出了一类具有Hardy位势和临界指数的Kirchhoff型方程的正解.
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| 关 键 词： | Kirchhoff型方程 Hardy位势 伸缩讨论 正解 |
| 收稿时间： | 2018/7/9 0:00:00 |
On Positive Solution for Kirchhoff Type Equation with the Hardy Potential and Critical Exponent |
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| LIU Jiu,YAN Zhong-quan.On Positive Solution for Kirchhoff Type Equation with the Hardy Potential and Critical Exponent[J].Journal of Southwest China Normal University(Natural Science),2019,44(4):37-40. |
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| Authors: | LIU Jiu YAN Zhong-quan |
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| Institution: | Key Laboratory of Complex Systems and Intelligent Computing, School of Mathematics and Statistics, Qiannan Normal University for Nationalities, Duyun Guizhou 558000, China |
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| Abstract: | According to the results of the semilinear elliptic equation in the whole space, by using the rescaling argument, analysis skills and careful calculation, the positive solution for a Kirchhoff type equation with the Hardy potential and critical exponent is obtained. |
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| Keywords: | Kirchhoff type equation Hardy potential rescaling argument positive solution |
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