Corrector problem in the deterministic homogenization of nonlinear elliptic equations
Giuseppe Cardone, Jean Louis Woukeng · Applicable Analysis · 2018
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.