Partial regularity up to the boundary of weak solutions of elliptic systems with nonlinearity $\bold q$ greater than two

Nonlinear elliptic systems with q-growth are considered. It is assumed that additional nonlinear terms of the systems have $q$-growth in the gradient, $q>2$. For Dirichlet and Neumann boundary-value problems we study the regularity of weak bounded solutions in the vicinity of the boundary.
In the case of small dimensions $(n\le q+2)$, the Hölder continuity or partial Hölder continuity of the solutions up to the boundary is proved. In a previous article the author studied the same problem for $q=2$.