Partial Regularity results for quasimonotone elliptic systems with general growth

We present a partial H"older regularity result for the gradient of solutions to { quasimonotone} systems: on bounded domains in the weak sense. Here certain continuity,{ uniformly strictly quasimonotonicity}, growth conditions are imposed on the coefficients, including an asymptotic Uhlenbeck behaviour close to the origin, while the inhomogeneous term satisfies controllable growth conditions. The result is achieved along a two-scale regime: degenerate and non-degenerate. In particular, we will use approximation lemmas, Diening et al.[ J.~Diff.~Equ. 253 (2012)(7), 1943–-1958; SIAM ~J.~Math.~ Anal. 44 (2012)(5), 3594-–3616], that simplify and unify the proof in the power growth case and allow us to consider also the general growth case.