Boundary Homogenization for a Quasi-Linear Elliptic Problem with Dirichlet Boundary Conditions Posed on Small Inclusions Distributed on the Boundary

Abstract: We describe the asymptotic behaviour of the solution of a quasi-linear elliptic problem posed in a domain of $\R^n$, $n\geq 3$ and with homogeneous Dirichlet boundary conditions imposed on small zones of size less than $\varepsilon$ distributed on the boundary of this domain when the parameter $\varepsilon$ goes to 0. We use epi-convergence arguments in order to establish the limit behaviour.

Full text of the article:

• Compressed PostScript file (151 kilobytes)
• PDF file (369 kilobytes)