Partial regularity for subquadratic homogeneity elliptic system with VMO-coefficients

In this paper, we are concerned with subquadratic homogeneity elliptic problems with VMO-coefficients in divergence form. We obtain that the weak solution u is locally Hölder continuous besides a singular set by using A-harmonic approximation, where the Hölder exponent α∈(0,1). The Hausdorff dimension of the singular set is less than n−p.