| 高维空间中带临界指数的非齐次Kirchhoff型方程的正解 |
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| 引用本文： | 吉蕾.高维空间中带临界指数的非齐次Kirchhoff型方程的正解[J].西南师范大学学报(自然科学版),2020,45(2):20-25. |
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| 作者姓名： | 吉蕾 |
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| 作者单位： | 晋中学院 数理学院, 山西 晋中 030619 |
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| 基金项目： | 四川省教育厅自然科学重点资助科研项目（18ZA0471）. |
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| 摘 要： | 在高维空间中,研究了一类带临界指数的非齐次Kirchhoff型方程.利用变分方法,当N=4时,获得该方程的两个正解;当N4时,获得该方程正解的存在性.结论补充并完善了近期相关文献的结果.
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| 关 键 词： | Kirchhoff型方程 临界指数 变分法 正解 |
| 收稿时间： | 2019/5/4 0:00:00 |
Positive Solutions for a Class of Nonhomogeneous Kirchhoff Type Equation with Critical Exponent in High Dimension |
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| JI Lei.Positive Solutions for a Class of Nonhomogeneous Kirchhoff Type Equation with Critical Exponent in High Dimension[J].Journal of Southwest China Normal University(Natural Science),2020,45(2):20-25. |
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| Authors: | JI Lei |
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| Institution: | College of Science, Jingzhong University, Jingzhong Shanxi 030619, China |
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| Abstract: | A class of nonhomogeneous Kirchhoff type equations with critical exponent is considered in high dimension. By the variational method, when N=4, two positive solutions are obtained; while N>4, the existence of positive solutions is obtained. The results complete and improve some results of the correlative references. |
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| Keywords: | Kirchhoff type equation critical exponent variational method positive solution |
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