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This paper deals with the asymptotic behavior of a quasilinear elliptic problem with semilinear terms situated in a two-component domain in,, as  ε  approaches 0. The domain has anperiodic interface where the flux is discontinuous and the temperature field, depending on the real parameter, is proportional to the flux. We use the Periodic Unfolding Method for two-component domains to obtain the homogenized property of the problem separating the cases,and. The corrector results are also presented, lastly, which completes the whole homogenization process.

Homogenization of a quasilinear problem with semilinear terms in a two-component domain