| 一类近似共振的半线性椭圆问题的多重解 |
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| 引用本文： | 夏鸿鸣,裴瑞昌.一类近似共振的半线性椭圆问题的多重解[J].数学研究及应用,2022,42(3):307-317. |
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| 作者姓名： | 夏鸿鸣 裴瑞昌 |
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| 作者单位： | 天水师范学院数学与统计学院, 甘肃 天水 741001 |
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| 基金项目： | 国家自然科学基金(Grant Nos.11661070; 12161077). |
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| 摘 要： | 用环绕方法证明了一类半线性薛定谔方程三个非平凡解的存在性.
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| 关 键 词： | 薛定谔方程 $\nabla$-条件 环绕方法 |
| 收稿时间： | 2021/3/6 0:00:00 |
| 修稿时间： | 2022/2/18 0:00:00 |
Multiplicity of Solutions for a Class of Nearly Resonant Semilinear Elliptic Problems |
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| Hongming XIA,Ruichang PEI.Multiplicity of Solutions for a Class of Nearly Resonant Semilinear Elliptic Problems[J].Journal of Mathematical Research with Applications,2022,42(3):307-317. |
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| Authors: | Hongming XIA Ruichang PEI |
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| Institution: | School of Mathematics and Statistics, Tianshui Normal University, Gansu 741001, P. R. China |
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| Abstract: | The existence of three nontrivial solutions for a class of superlinear Schr\"{o}dinger equations is obtained by using variational theorems of mixed type due to Marino and Saccon combined a Linking Theorem. |
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| Keywords: | Schr\"{o}dinger equation $\nabla$-condition linking |
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