Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
Dag Lukkassen, Gabriel Nguetseng, Hubert Nnang, Peter Wall · Journal of Function Spaces · 2009
We study reiterated homogenization of a nonlinear non‐periodic elliptic differential operator in a general deterministic setting as opposed to the usual stochastic setting. Our approach proceeds from an appropriate notion of convergence termed reiterated Σ‐convergence. A general deterministic homogenization theorem is proved and several concrete examples are studied under various structure hypotheses ranging from the classical periodicity hypothesis to more complicated, but realistic, structure hypotheses.