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We prove existence and regularity results for weak solutions of non-linear elliptic systems with non-variational structure satisfying(  p  ,  q  )    {(p,q)}   -growth conditions. In particular, we are able to prove higher differentiability results under a dimension-free gap between  p  and  q .

Existence and regularity results for weak solutions to ( p , q )-elliptic systems in divergence form