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math.AP2026
An H-convergence-based implicit function theorem for homogenization of nonlinear non-smooth elliptic systems
Lutz Recke
We consider homogenization of Dirichlet problems for semilinear elliptic systems with non-smooth data. We suppose that the diffusion tensors H-converge if the homogenization parame…
math.AP2025
A common approach to singular perturbation and homogenization III: Nonlinear periodic homogenization with localized defects
Lutz Recke
We consider periodic homogenization with localized defects for semilinear elliptic equations and systems of the type $$ \nabla\cdot\Big(\Big(A(x/\varepsilon)+B(x/\varepsilon)\Big)\…
math.AP2024
A Common Approach to Singular Perturbation and Homogenization II: Semilinear Elliptic Systems
Nikolai N. Nefedov, Lutz Recke
We consider periodic homogenization of boundary value problems for second-order semilinear elliptic systems in 2D of the type $$ \partial_{x_i}\left(a_{ij}^{αβ}(x/\varepsilon)\pa…