| 带有一般非线性项的分数阶Kirchhoff-Schr?dinger-Poisson系统的变号解 |
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| 引用本文： | 叶景兰,邓圣兵.带有一般非线性项的分数阶Kirchhoff-Schr?dinger-Poisson系统的变号解[J].西南师范大学学报(自然科学版),2019,44(4):16-21. |
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| 作者姓名： | 叶景兰 邓圣兵 |
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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（11501469）. |
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| 摘 要： | 研究了R~3上分数阶Kirchhoff-Schr?dinger-Poisson系统,当非线性项满足广义次临界以及某种单调性条件时,利用变号Nehari流形和定量形变引理,获得了该系统有基态变号解且仅变号一次.
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| 关 键 词： | 分数阶Kirchhoff-Schrö dinger-Poisson系统 变号Nehari流形 定量形变引理 |
| 收稿时间： | 2018/11/26 0:00:00 |
Sign-Changing Solution for fractional Kirchhoff-Schrödinger-Poisson System with General Nonlinearity |
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| YE Jing-lan,DENG Sheng-bing.Sign-Changing Solution for fractional Kirchhoff-Schrödinger-Poisson System with General Nonlinearity[J].Journal of Southwest China Normal University(Natural Science),2019,44(4):16-21. |
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| Authors: | YE Jing-lan DENG Sheng-bing |
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| Institution: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
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| Abstract: | The main objective of the paper is to investigate the existence of ground state sign-changing solutions for a fractional Kirchhoff-Schrödinger-Poisson system in R3 under general sublinear and some strict condition. With the help of sign-changing Nehari manifold and quantitative deformation lemma, It has been obtained that the system has a ground state sign-changing solution, which changes sign only once. |
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| Keywords: | Fractional Kirchhoff-Schrö dinger-Poisson system sign-changing Nehari manifold quantitative deformation lemma |
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