WEIGHTED SOBOLEV SPACES AND QUASIELLIPTIC OPERATORS IN R^N

In the paper we consider certain classes of matrix quasielliptic operators in the whole space ℝⁿ and special weighted Sobolev spaces . We give theorems on density of finite functions in . We formulate results on isomorphic properties of quasielliptic operators and solvability of quasielliptic systems in , and give applications these results to the theory of Sobolev type equations and systems not Cauchy–Kovalevskaya type.