散度形式二阶椭圆算子Dirichlet本征值的估计

Estimates for Dirichlet Eigenvalues of Second Order Elliptic Operators with the Divergence Form

利用偏微分方程紧算子理论及Ｆｏｕｒｉｅｒ 变换的方法， 研究具有散度形式的二阶椭圆算子的Ｄｉｒｉｃｈｌｅｔ 本征值问题，给出了本征值的一些重要性质，进而得到了本征值的一个下界估计，推广了一些已知的结果。

By using the compact operator theory for partial differential equations and the method of Fourier transform,the Dirichlet eigenvalue problem of second order elliptic differential operators with the divergence form is studied;Some important properties of eigenvalues are given;and furthermore,a lower bound estimation for eigenvalues is established.Some known results in the literature are also extended.