Abstract

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 an periodic 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.

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