对角形椭圆型方程组解的Liouville型定理——对p-1/2(p/p-1)<r<p-1+p/n 的情形

A type of Liouville theorems for solutions of diagonal form elliptic simult aneous equations

考虑对角形椭圆型方程组xαaαβ(x,u,u)uixβ=fi(x,u, u)，i=1,2,…,N，对一种特殊情形证明其广义解的Liouville型定理成立.

The elliptic simultaneous equations   xαaαβ(x,u,u)  u i  xβ=fi(x,u,u) i=1,2,…,N is considered in special conditions. A type of Liouville theorems is proved for so lutions of a special elliptic system in diagonal form under suitable conditions.