Homogenization of nonlinear elliptic systems with zero order term coupling (Q913096)

Here the results of the author, \textit{L. Boccardo} and \textit{F. Murat} [Commun. Pure Appl. Math. 39, 769-805 (1986; Zbl 0602.35030)] are extended to the case of nonlinear elliptic systems coupled only through zero order terms. The problem is motivated by the study of the limit of control problems for random evolutions with highly oscillatory coefficients. The limit problem is a scalar equation corresponding to a control problem for an averaged diffusion process.