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.
Henrik Shahgholian
KTH Royal Institute of Technology
Panagiotis Souganidis
The University of Chicago


Henrik Shahgholian

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