Abstract

We obtain a result contained in [10] in a different manner. An optimal sufficient condition is supplied in order to get the interior Holder re gularity of a weak H1-solution to a linear elliptic system with measurable bounded coefficients. Explicit estimate of the norm of the gradient of a solution in a suitable weighted Morrey space is given. The condition obtained is then applied to quasilinear and nonlinear elliptic systems.

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