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| 摘要: |
| 本文研究了三维稳态~\textit{Q}-tensor~液晶系统在~Lorentz~和~Morrey~空间中的的~Liouville~定理. 在~Lorentz~和~Morrey~空间的一些附加假设下, 我们证明了平凡解 $u=Q\equiv0$ 是唯一解. 我们的定理是对最近一些结果的改进, 并包含一些已知的结果作为特例 |
| 关键词: Lorentz 空间 Morrey 空间 Q-tensor 液晶 Liouville 定理 |
| DOI： |
| 分类号:O~175.4 |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| Liouville theorem for 3D stationary Q-tensor system of liquid crystal |
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HuLili,Bie Qunyi
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| Abstract: |
| In this paper, we study Liouville theorem for the 3D stationary \textit{Q}-tensor system of liquid crystal in Lorentz and Morrey spaces. Under some additional hypotheses, stated in terms of Lorentz and Morrey spaces, we show that the trivial solution $u=Q\equiv0$ is the unique solution. Our theorems correspond to improvements of some recent results and contain some known results as particular cases. |
| Key words: Lorentz spaces Morrey spaces Q-tensor liquid crystal Liouville theorem |
