<正> We consider the Reinhardt domain D=D(K)={Z=(z1,z2,…,z_n)=(z1,z)∈C|z1|2K+|z|2<1,K≠1},witch is a good model for the bouned inhomogeneous.domains in C~n.We d1scover that there exists Aut(D)-nvariant nonconstantfunctions f(Z,Z)and also exists nonconstant Aut(D)-invaraint harmonic functions.