Abstract: For Beltrami's equations in Rⁿ,n ≥ 2,there exist two exponents r₁,r₂, which satisfy1 < r₁ < n < r₂ < ∞,such that every weakly solution f(x) of Beltrami's equations in W_loc^1,r1(Ω,Rⁿ) belongs to W_loc^1,r2(Ω,Rⁿ).

Key words: Weakly K-quasiregular mappings, Beltrami's equations, the deoom position of vector field, reverse Hölder's inequality