Partial Hölder continuity results for solutions of non linear non variational elliptic systems with limit controlled growth
Let be a bounded open subset of , , of class . Let a solution of elliptic non linear non variational system where and are vectors in , , measurable in , continuous in and respectively. Here, we demonstrate that if has limit controlled growth, if is of class in and satisfies the Campanato condition and, together with , certain continuity assumptions, then the vector is partially Hölder continuous for every exponent .