We prove higher summability for the gradient of minimizers of strongly convex
integral functionals of the Calculus of Variations with (p,q)-Growth conditions
in low dimension. Our procedure is set in the framework of Fractional Sobolev
Spaces and renders the desired regularity as the result of an approximation
technique relying on estimates obtained through a careful use of difference
quotients.Comment: 22 pages, 0 figure