Partial regularity for local minimizers of splitting-type variational integrals

Abstract

We consider local minimizers u: Rⁿ⊃Ω→R^N of anisotropic variational integrals of (p, q)-growth with exponents 2≤p≤q≤min {2+p, p ⁿ/_(n−2)}. If the integrand is of splitting-type, then partial C¹-regularity of u is established.