| 下临界Choquard型线性耦合系统基态解的存在性 |
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| 引用本文： | 王培婷,李安然,魏重庆. 下临界Choquard型线性耦合系统基态解的存在性[J]. 山东大学学报(理学版), 2019, 54(8): 62-67. DOI: 10.6040/j.issn.1671-9352.0.2018.670 |
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| 作者姓名： | 王培婷 李安然 魏重庆 |
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| 作者单位： | 山西大学数学科学学院, 山西 太原 030006 |
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| 基金项目： | 国家自然科学基金青年科学基金资助项目(11701346) |
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| 摘 要： | 到目前为止,关于带有下临界指数的Choquard型线性耦合系统的研究还很少。利用变分法研究一类带有下临界指数的Choquard型线性耦合系统基态解的存在性。所做研究是对以往相关研究成果的推广和补充。
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| 关 键 词： | 线性耦合系统 下临界指数 Choquard方程 变分法 基态解 |
Existence of ground states for linear coupled systems of lower critical Choquard type |
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| Affiliation: | School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, China |
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| Abstract: | To the best of our knowledge, there is few result about linearly coupled systems of Choquard type with the lower critical up to now. The existence of ground state solutions for a class of Choquard-type linear coupled systems with lower critical exponents is studied by variational methods. It is a promotion and supplement to the previous research results. |
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| Keywords: | linearly coupled system lower critical exponent choquard equation variational method ground state solution |
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