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$%L. Esposito and G. Mingione, Some remarks on the regularity of weak solutions of degenerate
elliptic systems, Rev. Mat. Complut. 11 (1998), no. 1, 203–219.
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We prove the existence of second derivatives of the weak solutions of the degenerate system , where no differentiability is supposed on the monotone vector field . We also give a boundedness result for the scalar case.
1991 Mathematics Subject Classification: 35J60, 35D10.