Corrector Problem and Homogenization of Nonlinear Elliptic Monotone PDE
In the deterministic homogenization of nonlinear monotone elliptic PDEs, we prove the existence of a distributional corrector and we find an approximation scheme for the homogenized coefficient. The obtained results represent an important step towards the numerical implementation of the results from the deterministic homogenization theory beyond the periodic setting.
KeywordsCorrector problem Deterministic homogenization Approximation
Mathematics Subject Classification (2010).Primary 35B40 46J10
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