Homogenization of Dirichlet Problems with Convex Bounded Constraints on the Gradient
Thierry ChampionUniversité de Toulon et du Var, La Garde, France
Luigi De PascaleUniversità di Pisa, Italy
We give a simpler proof of a conjecture of A. Bensoussan, J. L. Lions and G. Papanicolaou on the homogenization of Dirichlet problems with convex bounded constraints on the gradient. Our proof is based on a regularization technique for the constrained functionals as well as on a fine approximation technique.
Cite this article
Thierry Champion, Luigi De Pascale, Homogenization of Dirichlet Problems with Convex Bounded Constraints on the Gradient. Z. Anal. Anwend. 22 (2003), no. 3, pp. 591–608DOI 10.4171/ZAA/1164