Imbedding theorems for spaces of functions with partial derivatives that are summable in various powers

We consider the anisotropic spaces (Wfrac{{bar l}}{p}(Omega ),bar l = left( {l_1 ,l_2 ldots ,l_n } right),l_i > 0,overline p = left( {p_1 ,p_2 , ldots ,p_n } right),1< p_i< infty ,i = 1,2, ldots ,n) . We extend the class of domains for which imbedding theorems for these spaces have the same form as for E_n. We investigate complete continuity of the corresponding imbedding operators.