Homogenization with oscillatory Neumann boundary data in general domain
Sunhi Choi, Inwon C. Kim · Scuola Normale Superiore eBooks · 2013
In this article we summarize recent progress on understanding averaging properties of fully nonlinear PDEs in bounded domains, when the boundary data is oscillatory. Our result on the Neumann problem is the nonlinear version of the classical result in [4] for divergence-form operators with co-normal boundary data. We also discuss the Dirichlet boundary problem.