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This paper deals with the homogenization of fully nonlinear second orderequation with an oscillating Dirichlet boundary data when the operator andboundary data are $\e$-periodic. We will show that the solution $u_\e$converges to some function $\bar u(x)$ uniformly on every compact subset $K$ ofthe domain $D$. Moreover, $\bar u$ is a solution to some boundary valueproblem. For this result, we assume that the boundary of the domain has no(rational) flat spots and the ratio of elliptic constants $\Lambda / \lambda$is sufficiently large.

Homogenization of fully nonlinear elliptic equations with oscillating dirichlet boundary data