Abstract: We study periodic reiterated homogenization for
equations of the form
, where
is a Carathéodory function. Under appropriate growth and
monotonicity assumptions and if the sequence of reiterated unfolding converges
almost everywhere to a Carathéodory type function, the sequence of solutions
converges to the solution of a limit variational problem. In particular this
contains the case
, where
is
periodic in the second and third arguments, and continuous in each argument.
We also study the homogenization in the monotone multivalued case for
equations of the form
, with
, where
is a function whose values are maximal monotone.