Homogenisation of Dirichlet problems for monotone operators in varying domains
Juan Casado‐Díaz · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1997
We study the asymptotic behaviour, for a sequence of varying open sets Ω n , of the solutions u n of nonlinear Dirichlet problems for a monotone Leray–Lions operator. The method is based on the comparison between the gradient of u n and the corrector for the p -Laplacian corresponding to the same geometry as the monotone operator. The representation of the limit problem and a corrector result are obtained.