In recent paper, we will consider some properties of weak solutions to the Dirichlet problem of a system with cubic nonlinearities from biaxial nematic liquid crystals in two dimensions. The smoothness of weak solution is obtained firstly. Then we study the constant boundary value problems of this system and obtain a Liouville-type theorem.

中文翻译：

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二维双轴向列液晶立方非线性系统的光滑度和刘维尔型定理

在最近的论文中，我们将考虑二维双轴向列液晶具有三次非线性的系统的狄利克雷问题的弱解的一些性质。首先得到弱解的光滑度。然后我们研究了这个系统的常边值问题，得到了一个刘维尔型定理。