Some contributions to homogenization theory
Sammanfattning: This thesis is devoted to homogenization theory and consists of an introduction and five papers. The introduction gives an elementary presentation of the basic ideas in homogenization theory, serves as an overview of the field and points out where the results of this thesis fit in. The first paper deals with reiterated homogenization of degenerate nonlinear monotone operators. In the second paper bounds and some numerical results for the homogenized degenerated p-Poisson equation are given. The third and fourth paper deal with some numerical aspects connected to homogenization theory. Finally, in the fifth paper a short introduction to homogenization of random monotone operators is given.
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