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We consider weak solutions to nonlinear elliptic systems with nondifferentiable coefficients whose principal parts are split into linear and nonlinear ones. Assuming that the nonlinear part g(x, u, z) is equipped by sub-linear growth in z only for big value of |z| (but the growth is arbitrarily close to the linear one), we prove the Morrey and BMO regularity for gradient of weak solutions.

On Morrey and BMO regularity for gradients of weak solutions to nonlinear elliptic systems with non-differentiable coefficients