Some nonlinear homogenization problems
O. A. Oleĭnik, Roger Témam, G. A. Yosifian · Applicable Analysis · 1995
We consider the Dirichlet problem for a second order elliptic equations which is nonlinear with respect to the unknown function and its first derivatives. The nonlinear terms involve nonuniform oscillation characterized by a small parameter ∊. We obtain asymptotic expansions for the solution and prove estimates for the remainder term.