一类带权四阶椭圆算子任意特征值的估计

Estimations of Any Eigenvalue for Elliptic Operators with Four Orders with Weighted Functions

该文研究一类带有权函数的四阶一致椭圆算子的特征值问题 ,得到了任意特征值上界的一个估计式 ,其结果对偏微分方程理论研究和在物理及力学中的应用有着重要意义。

In this paper,the eigenvalue problem about uniformly elliptic operators of the four orders with weighted functions is studied.The upper bound of any eigenvalue of the problem is obtained.This result is significant both in theory of partial differential equations and in applications to mechanics and physics.