Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets
Carmen Calvo‐Jurado, Juan Casado‐Díaz, Manuel Luna‐Laynez · ESAIM Control Optimisation and Calculus of Variations · 2008
For a fixed bounded open set , a sequence of open sets and a sequence of sets , we study the asymptotic behavior of the solution of a nonlinear elliptic system posed on , satisfying Neumann boundary conditions on and Dirichlet boundary conditions on . We obtain a representation of the limit problem which is stable by homogenization and we prove that this representation depends on and locally.