论文标题
关于部分铰链复合板中的对称性
About symmetry in partially hinged composite plates
论文作者
论文摘要
我们考虑了部分铰接的复合板问题，我们研究了定性特性，例如对称的对称和单调性，与密度最小化第一个特征值的密度相对应。通过显示操作员绿色函数的相关特性以及对固定平面应用极化来执行分析。作为研究的副产品，我们为具有自己的理论利益的操作员获得了HOPF型边界引理。这些语句与数值结果相辅相成。
We consider a partially hinged composite plate problem and we investigate qualitative properties, e.g. symmetry and monotonicity, of the eigenfunction corresponding to the density minimizing the first eigenvalue. The analysis is performed by showing related properties of the Green function of the operator and by applying polarization with respect to a fixed plane. As a by-product of the study, we obtain a Hopf type boundary lemma for the operator having its own theoretical interest. The statements are complemented by numerical results.
