Fractional differentiability results for nonlinear measure data problems with coefficients in Cγα

Abstract We consider nonlinear elliptic measure data problems having coefficients in C γ α with α ∈ ( 0 , 1 ] and γ ∈ [ 1 , ∞ ) . An optimal regularity assumption on the coefficients is investigated to obtain fractional differentiability results in a completely linearized form.