Calderón–Zygmund estimates for a class of quasilinear elliptic equations.

In this paper we obtain the following local Calderón–Zygmund estimates B ( | f | ) ∈ L l o c q ( Ω ) ⇒ B ( | ∇ u | ) ∈ L l o c q ( Ω ) for any q ≥ 1 of weak solutions for a class of quasilinear elliptic equations div ( a ( | ∇ u | ) ∇ u ) = div ( a ( | f | ) f ) in Ω , where B ( t ) = ∫ 0 t τ a ( τ ) d τ for t ≥ 0 . [ABSTRACT FROM AUTHOR]