Lutz Recke

An H-convergence-based implicit function theorem for homogenization of nonlinear non-smooth elliptic systems

Abstract We consider homogenization of semilinear elliptic PDE systems of the type $$ \partial _{x_i}\Big (a^{\alpha \beta }_{ij}(\varepsilon ,x) \partial _{x_j}u^\beta (x) +f_i^\alpha (x,u(x))\Big )=0 \text{ in } \Omega , \; \alpha =1,\ldots ,n, $$ ∂ x i ( a ij α β ( ε , x ) ∂ x...