Abstract
In this paper we study periodic homogenization problems for solutions of fully nonlinear PDEs in half-spaces with oscillatory Neumann boundary data. We show the existence and uniqueness of the homogenized Neumann data for a given half-space. Moreover, we show that there exists a continuous extension of the homogenized slope as the normal of the half-space varies over “irrational” directions.
Citation
Sunhi Choi. Inwon Kim. Ki-Ahm Lee. "Homogenization of Neumann boundary data with fully nonlinear operator." Anal. PDE 6 (4) 951 - 972, 2013. https://doi.org/10.2140/apde.2013.6.951
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