Homogenization of variational inequalities for a biharmonic operator with constraints on subsets ε-periodically placed along a manifold of large dimension
M. N. Zubova · Moscow University Mathematics Bulletin · 2007
Behavior of solutions of variational inequalities for a biharmonic operator is studied. These inequalities correspond to one-sided constraints on subsets of a domain Ω placed ε-periodically. All possible behavior types of solutions u ε of variational inequalities are considered for ε → 0 depending on relations between small parameters, which are the structure period ε and the contraction coefficient a ε of subsets where one-sided constraints are posed.