Based on the maximal monotone mapping theory and applying the Schauder fixed point theorem, we prove the existence and the uniqueness of weak periodic solution for nonlinear parabolic-elliptic equations in Orlicz-Sobolev spaces, with growth nonlinearity in gradient associated with some appropriate N-functions.



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Ahakkoud, Yassine, Bennouna, Jaouad, Elmassoudi, Mhamed