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.
Corrector problem in the deterministic homogenization of nonlinear elliptic equations / Cardone, G.; Woukeng, J. L.. - In: APPLICABLE ANALYSIS. - ISSN 0003-6811. - 98:1-2(2019), pp. 118-135. [10.1080/00036811.2018.1448075]
Corrector problem in the deterministic homogenization of nonlinear elliptic equations
G. Cardone
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2019
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.File in questo prodotto:
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