对角形椭圆型方程组的解的Liouville型定理

A LIOUVILLE TYPE THEOREM FOR SOLUTIONS OF DIAGONAL FORM ELLIPTIC SIMULTANEOUS EQUATIONS

考虑对角形椭圆型方程组ｘα（ａαβ（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Ｌｉｏｕｖｉｌｅ型定理成立．

he elliptic simultaneous equations: xαaαβ(x,u,u)uixβ=fi(x,u,u) i=1,2,…,Nis considered in special conditions.A Liouville type theorem is proved for solutions of a special elliptic system in diagonal form under suitable conditions.