Homogenization of a quasilinear problem with semilinear terms in a two-component domain
Jemmalyn Grace H. Santiago, Bituin Cabarrubias · Applicable Analysis · 2022
This paper deals with the asymptotic behavior of a quasilinear elliptic problem with semilinear terms situated in a two-component domain in RN, N≥ 2, as ε approaches 0. The domain has an ϵ−periodic interface where the flux is discontinuous and the temperature field, depending on the real parameter γ<1, 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 γ∈(−1,1), γ<−1 and γ=−1. The corrector results are also presented, lastly, which completes the whole homogenization process.