Asymptotic analysis for monotone quasilinear problems in thin multidomains

Abstract

In this paper we perform the asymptotic analysis of a class of monotone quasilinear Neumann problems, with exponent $p\in ]1,+\infty[$ and nonstandard transmission condition, originating by change of variables from the quasilinear Neumann problem in a thin multidomain. This completes the $\Gamma$-convergence approach previously considered by the same authors. In particular, the corrector type result which is given here is more general.