一类二阶退化方程组的特征值估计

An ESTIMATE FOR CONSECUTIVE EIGENVALUES OF A SYSTEM OF ORDER TWO DEGENERATE DIFFERENTLAL EQUATIONS

本文运用关于Ｈｅｉｓｅｎｂｅｒｇ群的知识讨论了一类二阶退化方程组的特征值问题．对Ｒ２ｎ＋１中的有界域上定义的特征值问题，给出了相邻特征值之差的估计，并对一类特殊方程组得到了更精确的估计．

In this paper we consider the eigenvalue problem and its example for any bounded domain D in Hn with smoothing boundury such that (Ⅰ) and (Ⅱ) exist eigenvalue sequences and respectively. Here Wr is a degenerate order one operator (see introduction for detail). One obtain the extimates for and as follows with g(n)= [α2+2n+9)μ2+(2n+6)μα]/μ.