Svetlana Evgenievna Pastukhova: Homogenization of monotone operators with oscillating exponent of nonlinearity

We consider the homogenization of monotone operators which satisfy coerciveness and boundedness condition involving power bounds with a variable exponent. Moreover, this exponent is highly oscillating while a small parameter of homogenization tends to zero.

Coerciveness and boundedness condition for the homogenized operator is formulated in terms of the convex function which is a Gamma-limit of the power integrands standing in initial coerciveness and boundedness condition.