Calderón-Zygmund estimates for a class of quasilinear elliptic equations

In this paper we obtain the following local Calderón-Zygmund estimatesB(|f|)∈Llocq(Ω)⇒B(|∇u|)∈Llocq(Ω)for anyq≥1 of weak solutions for a class of quasilinear elliptic equationsdiv(a(|∇u|)∇u)=div(a(|f|)f)inΩ, where B(t)=∫0tτa(τ)dτ for t≥0.