Abstract
The present paper focuses on the study of a homogenized limit of a parabolic equation for the p-Laplace operator with a nonlinear dynamical boundary condition set in a perforated domain that is obtained by removing “tiny” balls from a fixed domain. We investigate a “critical” case that is characterized by a relation between the size of holes, period of the structure, and coefficient in the boundary condition. The main result of the paper is a theorem that states weak convergence of an original problem solution to a solution of the limit problem containing transmission condition with a nonlocal “strange” term.
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