多重调和算子△^p本征值的估计

Estimates for Eigenvalues of Polyharmonic Operator △~p

设Ω是Rm（m≥2）中的一个有界区域，其边界足够光滑。研究任意阶调和算子△p的本征值问题，给出了算子△p本征值的一个下界估计，该下界估计仅与区域Ω的体积有关。

Let Ω be a bounded domain in Rm, m≥2, with sufficiently smooth boundry.The eigenvalue problem of polyharmonic operator △p with any order is studied, a lower estimate for the eigenvalue of the operator △p is provided, which depends only on the volume of Ω.