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The approximation of the solution of the first boundary value problem for a strongly nonlinear second-order elliptic problem in divergence form by the mixed finite element method is considered. Existence and uniqueness of the approximation are proved and optimal error estimates in L2 are established for both the scalar and vector functions approximated by the method. Error estimates are also derived in U , 2 < q < +00 .doi:10.1090/s0025-5718-1995-1303087-3 fatcat:j4dpw2paanfojn5d7525kawgzi