Homogenization of monotone operators with oscillating exponent of nonlinearity
Homogenization and Random Phenomenon
28 October 14:00 - 14:55
Svetlana Evgenievna Pastukhova - Moscow State Institute of Radio Engineering, Electronics and Automation, MIREA
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.
KTH Royal Institute of Technology
The University of Chicago