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This paper addresses an investigation of the asymptotic behaviour as ε→0 of the solution to the boundary value problem associated with the p-Laplace operator in an ε-periodically structured domain with a nonlinear Robin-type condition specified on the boundary of the periodic subdomains. This kind of domains include the so called perforated media as well as the case of isolated particles distributed...
In previous works, the homogenization of the problem with p-Laplace diffusion and nonlinear reaction in the boundary of periodically distributed particles in n-dimensional domains has been studied in the cases where $$p \le n$$ p≤n . The main trait of the cases $$p \le n$$ p≤n is the existence of a critical size of the particles, for which the nonlinearity arising of the limit problem does not coincide...
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