| 一类超线性分数阶Schr?dinger方程解的多重性 |
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| 引用本文： | 陈卫,唐春雷.一类超线性分数阶Schr?dinger方程解的多重性[J].西南师范大学学报(自然科学版),2019,44(4):26-30. |
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| 作者姓名： | 陈卫 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： | 考虑了一类超线性分数阶Schr?dinger方程,当非线性项f满足广义次临界条件及其它条件时,利用对称山路引理和变分方法,得到了该类方程无穷多个大解的存在性,推广了已有的研究结果.
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| 关 键 词： | 分数阶Schrö dinger方程 广义次临界 超线性 对称山路引理 |
| 收稿时间： | 2018/7/30 0:00:00 |
On Variational Results for of Fractional Schrödinger Type Equations with Superlinear Groth |
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| CHEN Wei,TANG Chun-lei.On Variational Results for of Fractional Schrödinger Type Equations with Superlinear Groth[J].Journal of Southwest China Normal University(Natural Science),2019,44(4):26-30. |
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| Authors: | CHEN Wei TANG Chun-lei |
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| Institution: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
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| Abstract: | This paper considers the fractional Schrödinger type equations with superlinear growth. Under certain assumptions on nonlinear f with more general subcritical growth conditions, we have obtained the existence of infinitely many nontrivial high energy solutions via the Symmetric mountain pass lemma and the variational method. Thus enriching and improving the existing results. |
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| Keywords: | fractional Schrö dinger equation general subcritical superlinear symmetric mountain pass lemma |
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