一类高阶椭圆方程的极值原理与解的唯一性

On Maxiu m Principles for a Class of Some Higher Order Elliptic Equations and the Uniqueness of Their Solution

本文扩充了文[1]中某些极值原理至高阶椭圆方程。再者,我们又得到四阶椭圆方程组的某些极值原理且应用于边值问题,我们得到的主要结果是定理1与定理3。

In this paper, We extend some maximum principles in [1] for a class of some higher order Elliptic Partial differential equations. Again, we get some maximum Principles for a System of Fourth-order Elliptic equtions, and apply it to some boundry-Value problems. Our main results are theorem 1 and theorem 3.