Resumo: We study the asymptotic behavior of solutions to ellipticPDEs posed in thin domains with weakly oscillating boundaries, including scenarios that go beyond classical periodicity such as quasi-periodic or almost-periodic geometries. Using dimension reduction and homogenization techniques, we rigorously derive effective limit equations that capture the effects of the domain’s geometry. In one setting, we also incorporate boundary-concentrated reaction terms supported in a narrow, oscillating strip near the upper boundary
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