| 一类渐近3-线性Kirchhoff型方程的正基态解 |
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| 引用本文： | 陈星,吴行平,唐春雷.一类渐近3-线性Kirchhoff型方程的正基态解[J].西南师范大学学报(自然科学版),2019,44(4):22-25. |
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| 作者姓名： | 陈星 吴行平 唐春雷 |
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| 作者单位： | 西南大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金项目（11471267）. |
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| 摘 要： | 采用变分方法研究了一类渐近3-线性Kirchhoff型方程.利用极小作用原理,得到非零非负解的存在性.最后利用强极大值原理,得到了一个正的基态解.
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| 关 键 词： | Kirchhoff方程 基态解 极小作用原理 变分方法 |
| 收稿时间： | 2018/10/9 0:00:00 |
Existence of a Positive Ground State Solution for a Class of Asymptotically 3-Linear Kirchhoff-TypeEquations |
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| CHEN Xing,WU Xing-ping,TANG Chun-lei.Existence of a Positive Ground State Solution for a Class of Asymptotically 3-Linear Kirchhoff-TypeEquations[J].Journal of Southwest China Normal University(Natural Science),2019,44(4):22-25. |
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| Authors: | CHEN Xing WU Xing-ping TANG Chun-lei |
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| Institution: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
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| Abstract: | In this paper, we have mainly studied a class of asymptotically 3-linear Kirchhoff-type equations by variational method. Using the principle of minimal action, the existence of non-zero and non-negative solution is obtained. Finally, a positive ground state solution is obtained by using the strong maximum principle. |
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| Keywords: | Kirchhoff equations ground state solution the least action principle the variational methods |
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