The nonlinear stokes problem with general potentials having superquadratic growth

We discuss partial regularity results concerning local minimizers u : R-3 superset of Omega -> R-3 of variational integrals of the form

integral(Omega) {h(|epsilon(w)|) - f.w} dx

defined on appropriate classes of solenoidal fields, where h is a N-function of rather general type. As a byproduct we obtain a theorem on partial C (1)-regularity for weak solutions of certain non-uniformly elliptic Stokes-type systems modelling generalized Newtonian fluids.