4 papers
An H-convergence-based implicit function theorem for homogenization of nonlinear non-smooth elliptic systems
Lutz Recke
We consider homogenization of Dirichlet problems for semilinear elliptic systems with non-smooth data. We suppose that the diffusion tensors H-converge if the homogenization parame…
A common approach to singular perturbation and homogenization I: Quasilinear ODE systems
Nikolai N. Nefedov, Lutz Recke
We consider periodic homogenization of boundary value problems for quasilinear second-order ODE systems in divergence form of the type $a(x,x/\varepsilon,u(x),u'(x))'= f(x,x/\varep…
Nonlinear non-periodic homogenization: Existence, local uniqueness and estimates
Lutz Recke
We consider periodic homogenization with localized defects of boundary value problems for semilinear ODE systems of the type $$ \Big((A(x/\varepsilon)+B(x/\varepsilon))u'(x)+c(x,u(…
A common approach to singular perturbation and homogenization III: Nonlinear periodic homogenization with localized defects
Lutz Recke
We consider periodic homogenization with localized defects for semilinear elliptic equations and systems of the type $$ \nabla\cdot\Big(\Big(A(x/\varepsilon)+B(x/\varepsilon)\Big)\…