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Corrector problem in the deterministic homogenization of nonlinear elliptic equations

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ABSTRACT We carry out the deterministic homogenization of nonlinear elliptic operators beyond periodicity. To proceed with, we prove the existence of nonlinear correctors in the usual distributional sense. This lays… Click to show full abstract

ABSTRACT We carry out the deterministic homogenization of nonlinear elliptic operators beyond periodicity. To proceed with, we prove the existence of nonlinear correctors in the usual distributional sense. This lays the foundation for the study of regularity results in the nonlinear deterministic homogenization theory beyond the periodic setting.

Keywords: corrector problem; deterministic homogenization; problem deterministic; homogenization nonlinear; nonlinear elliptic; homogenization

Journal Title: Applicable Analysis
Year Published: 2019

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