含权双调和椭圆型问题的特征值不等式

Eigenvalue Inequality for a Weighted Biharmonic Elliptic Problem

本文主要讨论了一类含权的双调和椭圆型Dirichlet边值问题的第一和第二特征值之间的关系,通过一些变分技巧得到了相关的不等式,并在低维数空间给出了一些估计。

In this paper, we study the relation between the first and the second eigenvalue of a weighted biharmonic elliptic problem with Dirichlet boundary. By some variational technique we obtain the corresponding inequality, and some evaluations are put forward in low dimension space.